Instituto de Investigación
en Matemáticas

Singularidades, Geometría Algebraica, Álgebra, Conmutativa, Codificación, Combinatoria, Computación y Optimización

(SINGACOM)


Objetivos: El Grupo SINGACOM tiene como finalidad la investigación en varios campos de las matemáticas: SINGularidades, Geometría Algebraica, Álgebra Conmutativa, COdificación, COMbinatoria, COMputación y Optimización. Sus objetivos son los siguientes: a) Realización de investigación básica y aplicada sobre temas referentes a las líneas de investigación del Grupo o relacionados con ellos. b) Realización de investigación multidisciplinar en matemáticas e identificación de aplicaciones en otros ámbitos científicos y tecnológicos. c) Sensibilización y contribución técnica sobre problemas de interés social o demandados por el actual contexto de la sociedad de la información. d) Cooperación internacional y nacional con otros grupos de investigación o especialistas cualificados en los temas de interés del Grupo. e) Contraste, difusión y divulgación de los resultados obtenidos. f) Formación de investigadores en los campos propios del Grupo y en campos emergentes cuya metodología sea afín con el interés del mismo. g) Transmisión del conocimiento en la forma reglada por el sistema universitario y fomento de la cultura en relación con los campos y temas de interés del Grupo. h) Transferencia de conocimiento hacia los sectores tecnológico y productivo. i) Participación en iniciativas o estructuras amplias para el desarrollo de la investigación en los campos y temas de interés del Grupo.
Líneas de investigación: Geometría global de las curvas y de campos vectoriales meromorfos. Geometría algebraica afín y proyectiva. Geometría tórica. Matemática discreta. Grafos. Álgebra y geometría algebraica aplicadas. Resolución de singularidades, métodos y algoritmos. Álgebra local. Graduaciones. Valoraciones. Clausura entera de ideales. Sistemas lineales con condiciones base asignadas. Aplicaciones a interpolación. Series de Poincaré. Integración. Aplicaciones a la teoría de singularidades. Espacios de arcos. Integración motívica. Aplicaciones. Clasificación de singularidades y equisingularidad. Geometría no conmutativa. Aspectos homológicos. Códigos algebro-geométricos. Codificación y decodificación. Combinatoria algebraica. Aplicaciones. Optimización combinatoria. Computación simbólica en geometría algebraica y singularidades. Lógica en computación. Complejidad de algoritmos.
Publicaciones:
Hamburger-Noether expansions over rings Trans. Amer. Math. Soc. 279 377--388 (1983) Campillo, Antonio
The arithmetic of Arf and saturated semigroups. Applications Rev. Real Acad. Cienc. Exact. Fís. Natur. Madrid 82 161--163 (1988) Campillo, A. and Delgado, F. and Núñez, C. A.
Combinatorial aspects of sequences of point blowing ups Manuscripta Math. 84 29--46 (1994) Campillo, A. and Reguera, A.-J.
Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings Manuscripta Math. 83 405--423 (1994) Campillo, A. and Delgado, F. and Kiyek, K.
Arf closure relative to a divisorial valuation and transversal curves Amer. J. Math. 116 377--395 (1994) Campillo, Antonio and Castellanos, Julio
Generators of a monomial curve and graphs for the associated semigroup Bull. Soc. Math. Belg. Sér. A 45 45--58 (1993) Campillo, Antonio and Pisón, Pilar
Lídéal dún semi-groupe de type fini C. R. Acad. Sci. Paris Sér. I Math. 316 1303--1306 (1993) Campillo, Antonio and Pisón, Pilar
Amas, idéaux `a support fini et cha^i nes toriques C. R. Acad. Sci. Paris Sér. I Math. 315 987--990 (1992) Campillo, Antonio and Gonzalez-Sprinberg, Gérard and Lejeune-Jalabert, Monique
Higher order relations for a numerical semigroup Sém. Théor. Nombres Bordeaux (2) 3 249--260 (1991) Campillo, A. and Marijuan, C.
Some remarks on Pythagorean real curve germs J. Algebra 128 271--275 (1990) Campillo, Antonio and Ruiz, Jesús M.
The Alexander polynomial of a plane curve singularity, and the ring of functions on the curve Uspekhi Mat. Nauk 54 157--158 (1999) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
On generators of the semigroup of a plane curve singularity J. London Math. Soc. (2) 60 420--430 (1999) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
On the monodromy of a plane curve singularity and the Poincaré series of its ring of functions Funktsional. Anal. i Prilozhen. 33 66--68 (1999) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
A plane foliation of degree different from 1 is determined by its singular scheme C. R. Acad. Sci. Paris Sér. I Math. 328 877--882 (1999) Campillo, Antonio and Olivares, Jorge
Derivation algebras of toric varieties Compositio Math. 116 119--132 (1999) Campillo, Antonio and Grabowski, Janusz and Müller, Gerd
Combinatorics of syzygies for semigroup algebras Collect. Math. 49 239--256 (1998) Briales, Emilio and Pisón, Pilar and Campillo, Antonio and Marijuán, Carlos
Minimal systems of generators for ideals of semigroups J. Pure Appl. Algebra 124 7--30 (1998) Briales, E. and Campillo, A. and Marijuán, C. and Pisón, P.
Graphes arithmétiques et syzygies C. R. Acad. Sci. Paris Sér. I Math. 324 313--316 (1997) Campillo, Antonio and Giménez, Philippe
On the graded algebra relative to a valuation Manuscripta Math. 92 173--189 (1997) Campillo, Antonio and Galindo, Carlos
Proximity inequalities and bounds for the degree of invariant curves by foliations of $old P^2_{f C}$ Trans. Amer. Math. Soc. 349 2211--2228 (1997) Campillo, Antonio and Carnicer, Manuel M.
Clusters of infinitely near points Math. Ann. 306 169--194 (1996) Campillo, Antonio and Gonzalez-Sprinberg, Gérard and Lejeune-Jalabert, Monique
Clusters, proximity inequalities and Zariski-Lipman complete ideal theory Publ. Mat. Urug. 6 7--46 (1995) Campillo, Antonio and Gonzalez-Sprinberg, Gérard and Lejeune-Jalabert, Monique
Enriques diagrams, resolutions and toric clusters C. R. Acad. Sci. Paris Sér. I Math. 320 329--334 (1995) Campillo, Antonio and Gonzalez-Sprinberg, Gérard and Lejeune-Jalabert, Monique
Adjoints and codes Rend. Sem. Mat. Univ. Politec. Torino 62 209--223 (2004) Campillo, A. and Farrán, J. I.
Poincaré series of a rational surface singularity Invent. Math. 155 41--53 (2004) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
On sections with isolated singularities of twisted bundles and applications to foliations by curves Math. Res. Lett. 10 651--658 (2003) Campillo, Antonio and Olivares, Jorge
The Poincaré series associated with finitely many monomial valuations Math. Proc. Cambridge Philos. Soc. 134 433--443 (2003) Campillo, Antonio and Galindo, Carlos
The Alexander polynomial of a plane curve singularity via the ring of functions on it Duke Math. J. 117 125--156 (2003) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
The Alexander polynomial of a plane curve singularity and integrals with respect to the Euler characteristic Internat. J. Math. 14 47--54 (2003) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Integrals with respect to the Euler characteristic over spaces of functions, and the Alexander polynomial Tr. Mat. Inst. Steklova 238 144--157 (2002) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
Symbolic Hamburger-Noether expressions of plane curves and applications to {AG} codes Math. Comp. 71 1759--1780 (2002) Campillo, A. and Farrán, J. I.
Cones of curves and of line bundles on surfaces associated with curves having one place at infinity Proc. London Math. Soc. (3) 84 559--580 (2002) Campillo, Antonio and Piltant, Olivier and Reguera-López, Ana J.
Valuative Arf characteristic of singularities Michigan Math. J. 49 435--450 (2001) Campillo, Antonio and Castellanos, Julio
Coin exchange algorithms and toric projective curves Comm. Algebra 29 2985--2989 (2001) Campillo, Antonio and Revilla, Miguel A.
Polarity with respect to a foliation and Cayley-Bacharach theorems J. Reine Angew. Math. 534 95--118 (2001) Campillo, Antonio and Olivares, Jorge
Integration with respect to the Euler characteristic over a function space, and the Alexander polynomial of a plane curve singularity Uspekhi Mat. Nauk 55 127--128 (2000) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
On the parameters of algebraic-geometry codes related to Arf semigroups IEEE Trans. Inform. Theory 46 2634--2638 (2000) Campillo, Antonio and Farrán, José Ignacio and Munuera, Carlos
Invariant curves by vector fields on algebraic varieties J. London Math. Soc. (2) 62 56--70 (2000) Campillo, A. and Carnicer, M. M. and García de la Fuente, J.
Syzygies of affine toric varieties J. Algebra 225 142--161 (2000) Campillo, Antonio and Gimenez, Philippe
Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models Finite Fields Appl. 6 71--92 (2000) Campillo, A. and Farrán, J. I.
Configurations of infinitely near points S~ao Paulo J. Math. Sci. 3 115--160 (2009) Campillo, A. and Gonzalez-Sprinberg, G. and Monserrat, F.
Universal abelian covers of rational surface singularities, and multi-index filtrations Funktsional. Anal. i Prilozhen. 42 3--10, 95 (2008) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
Equisingular deformations of plane curves in arbitrary characteristic Compos. Math. 143 829--882 (2007) Campillo, Antonio and Greuel, Gert-Martin and Lossen, Christoph
On Poincaré series of filtrations on equivariant functions of two variables Mosc. Math. J. 7 243--255, 350 (2007) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Special subschemes of the scheme of singularities of a plane foliation C. R. Math. Acad. Sci. Paris 344 581--585 (2007) Campillo, Antonio and Olivares, Jorge
Multi-index filtrations and generalized Poincaré series Monatsh. Math. 150 193--209 (2007) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Evaluation codes at singular points of algebraic differential equations Appl. Algebra Engrg. Comm. Comput. 18 191--203 (2007) Campillo, A. and Farran, J. I. and Pisabarro, M. J.
Equisingular calculations for plane curve singularities J. Symbolic Comput. 42 89--114 (2007) Campillo, Antonio and Greuel, Gert-Martin and Lossen, Christoph
Cones of curves and of line bundles ``at infinity'' J. Algebra 293 513--542 (2005) Campillo, Antonio and Piltant, Olivier and Reguera, Ana J.
Poincaré series of curves on rational surface singularities Comment. Math. Helv. 80 95--102 (2005) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Hilbert function, generalized Poincaré series and topology of plane valuations Monatsh. Math. 174 403--412 (2014) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Equivariant Poincaré series of filtrations and topology Ark. Mat. 52 43--59 (2014) Campillo, Antonio and Delgado, Félix and Gusein-Zade, Sabir M.
Equivariant Poincaré series of filtrations Rev. Mat. Complut. 26 241--251 (2013) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Poincaré series for filtrations defined by discrete valuations with arbitrary center J. Algebra 377 66--75 (2013) Campillo, Antonio and Lemahieu, Ann
Alexander polynomials and Poincaré series of sets of ideals Funktsional. Anal. i Prilozhen. 45 40--48 (2011) Guse{ui}n-Zade, S. M. and Delgado, F. and Kampil{cprime}o, A.
Poincaré series of collections of plane valuations Internat. J. Math. 21 1461--1473 (2010) Campillo, A. and Delgado, F. and Gusein-Zade, S. M. and Hernando, F.
The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors Funct. Anal. Other Math. 3 39--46 (2010) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Heisuke Hironaka Gac. R. Soc. Mat. Esp. 13 179--190 (2010) Campillo, Antonio and Encinas, Santiago
On Poincaré series of filtrations Azerb. J. Math. 5 125--139 (2015) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
An equivariant Poincaré series of filtrations and monodromy zeta functions Rev. Mat. Complut. 28 449--467 (2015) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Equivariant Poincaré series and topology of valuations Doc. Math. 21 271--286 (2016) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Birational equivalence of reduced graphs J. Pure Appl. Algebra 124 173--199 (1998) Marijuán, Carlos
On the topological type of a set of plane valuations with symmetries Math. Nachr. 0 (2017) A. Campillo, F. Delgado, and S. M. Gusein-Zade
The arithmetic of Arf and saturated semigroups. Applications Rev. Real Acad. Cienc. Exact. Fís. Natur. Madrid 82 161--163 (1988) Campillo, A. and Delgado, F. and Núñez, C. A.
Gorenstein curves and symmetry of the semigroup of values Manuscripta Math. 61 285--296 (1988) Delgado de la Mata, Félix
The semigroup of values of a curve singularity with several branches Manuscripta Math. 59 347--374 (1987) Delgado de la Mata, Félix
A factorization theorem for the polar of a curve with two branches Compositio Math. 92 327--375 (1994) de la Mata, Félix Delgado
Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings Manuscripta Math. 83 405--423 (1994) Campillo, A. and Delgado, F. and Kiyek, K.
The Alexander polynomial of a plane curve singularity, and the ring of functions on the curve Uspekhi Mat. Nauk 54 157--158 (1999) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
On generators of the semigroup of a plane curve singularity J. London Math. Soc. (2) 60 420--430 (1999) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
On the monodromy of a plane curve singularity and the Poincaré series of its ring of functions Funktsional. Anal. i Prilozhen. 33 66--68 (1999) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
Poincaré series of a rational surface singularity Invent. Math. 155 41--53 (2004) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Poincaré series for several plane divisorial valuations Proc. Edinb. Math. Soc. (2) 46 501--509 (2003) Delgado, F. and Gusein-Zade, S. M.
Special fibres and critical locus for a pencil of plane curve singularities Compositio Math. 136 69--87 (2003) Delgado, F. and Maugendre, H.
The Alexander polynomial of a plane curve singularity via the ring of functions on it Duke Math. J. 117 125--156 (2003) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
The Alexander polynomial of a plane curve singularity and integrals with respect to the Euler characteristic Internat. J. Math. 14 47--54 (2003) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Integrals with respect to the Euler characteristic over spaces of functions, and the Alexander polynomial Tr. Mat. Inst. Steklova 238 144--157 (2002) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
Integration with respect to the Euler characteristic over a function space, and the Alexander polynomial of a plane curve singularity Uspekhi Mat. Nauk 55 127--128 (2000) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
Saturation for valuations on two-dimensional regular local rings Math. Z. 234 519--550 (2000) Delgado, Félix and Galindo, Carlos and Núñez, Ana
On the relation between the generalized Poincaré series and the Stöhr zeta function Proc. Amer. Math. Soc. 137 51--59 (2009) Delgado de la Mata, Félix and Moyano Fernández, Julio José
Generating sequences and Poincaré series for a finite set of plane divisorial valuations Adv. Math. 219 1632--1655 (2008) Delgado, F. and Galindo, C. and Núñez, A.
Universal abelian covers of rational surface singularities, and multi-index filtrations Funktsional. Anal. i Prilozhen. 42 3--10, 95 (2008) Guse{ui}n-Zade, S. M. and Del{cprime}gado, F. and Kampil{cprime}o, A.
On Poincaré series of filtrations on equivariant functions of two variables Mosc. Math. J. 7 243--255, 350 (2007) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Multi-index filtrations and generalized Poincaré series Monatsh. Math. 150 193--209 (2007) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Poincaré series of curves on rational surface singularities Comment. Math. Helv. 80 95--102 (2005) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
On the topology of the image by a morphism of plane curve singularities Rev. Mat. Complut. 27 369--384 (2014) Delgado, F. and Maugendre, H.
Hilbert function, generalized Poincaré series and topology of plane valuations Monatsh. Math. 174 403--412 (2014) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Equivariant Poincaré series of filtrations and topology Ark. Mat. 52 43--59 (2014) Campillo, Antonio and Delgado, Félix and Gusein-Zade, Sabir M.
Equivariant Poincaré series of filtrations Rev. Mat. Complut. 26 241--251 (2013) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Alexander polynomials and Poincaré series of sets of ideals Funktsional. Anal. i Prilozhen. 45 40--48 (2011) Guse{ui}n-Zade, S. M. and Delgado, F. and Kampil{cprime}o, A.
Poincaré series of collections of plane valuations Internat. J. Math. 21 1461--1473 (2010) Campillo, A. and Delgado, F. and Gusein-Zade, S. M. and Hernando, F.
The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors Funct. Anal. Other Math. 3 39--46 (2010) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
On Poincaré series of filtrations Azerb. J. Math. 5 125--139 (2015) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
An equivariant Poincaré series of filtrations and monodromy zeta functions Rev. Mat. Complut. 28 449--467 (2015) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
Equivariant Poincaré series and topology of valuations Doc. Math. 21 271--286 (2016) Campillo, A. and Delgado, F. and Gusein-Zade, S. M.
On the topological type of a set of plane valuations with symmetries Math. Nachr. 0 (2017) A. Campillo, F. Delgado, and S. M. Gusein-Zade
Good points and constructive resolution of singularities Acta Math. 181 109--158 (1998) Encinas, S. and Villamayor, O.
Strong resolution of singularities in characteristic zero Comment. Math. Helv. 77 821--845 (2002) Encinas, Santiago and Hauser, Herwig
Lojasiewicz exponents and resolution of singularities Arch. Math. (Basel) 93 225--234 (2009) Bivià-Ausina, C. and Encinas, S.
Lojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations Rev. Mat. Complut. 26 773--798 (2013) Bivià-Ausina, Carles and Encinas, Santiago
Embedded desingularization of toric varieties J. Symbolic Comput. 46 1229--1241 (2011) Blanco, Rocío and Encinas, Santiago
Coefficient and elimination algebras in resolution of singularities Asian J. Math. 15 251--271 (2011) Blanco, Rocío and Encinas, Santiago
Some natural properties of constructive resolution of singularities Asian J. Math. 15 141--191 (2011) Benito, Angélica and Encinas, Santiago and Villamayor U., Orlando E.
The Lojasiewicz exponent of a set of weighted homogeneous ideals J. Pure Appl. Algebra 215 578--588 (2011) Bivià-Ausina, C. and Encinas, S.
Heisuke Hironaka Gac. R. Soc. Mat. Esp. 13 179--190 (2010) Campillo, Antonio and Encinas, Santiago
On algorithmic equi-resolution and stratification of Hilbert schemes Proc. London Math. Soc. (3) 86 607--648 (2003) Encinas, S. and Nobile, A. and Villamayor U., O.
Principalization and desingularization Rev. Semin. Iberoam. Mat. Singul. Tordesillas 2 11--17 (1999) Encinas, S. and Villamayor, O.
A simplified proof of desingularization and applications Rev. Mat. Iberoamericana 21 349--458 (2005) Bravo, Ana María and Encinas, Santiago and Villamayor U., Orlando
Adjoints and codes Rend. Sem. Mat. Univ. Politec. Torino 62 209--223 (2004) Campillo, A. and Farrán, J. I.
Symbolic Hamburger-Noether expressions of plane curves and applications to {AG} codes Math. Comp. 71 1759--1780 (2002) Campillo, A. and Farrán, J. I.
On the parameters of algebraic-geometry codes related to Arf semigroups IEEE Trans. Inform. Theory 46 2634--2638 (2000) Campillo, Antonio and Farrán, José Ignacio and Munuera, Carlos
Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models Finite Fields Appl. 6 71--92 (2000) Campillo, A. and Farrán, J. I.
Evaluation codes at singular points of algebraic differential equations Appl. Algebra Engrg. Comm. Comput. 18 191--203 (2007) Campillo, A. and Farran, J. I. and Pisabarro, M. J.
On the weight hierarchy of codes coming from semigroups with two generators IEEE Trans. Inform. Theory 60 282--295 (2014) Delgado, Manuel and Farrán, José I. and García-Sánchez, Pedro A. and Llena, David
On the generalized Feng-Rao numbers of numerical semigroups generated by intervals Math. Comp. 82 1813--1836 (2013) Delgado, M. and Farrán, J. I. and García-Sánchez, P. A. and Llena, D.
Gröbner basis for norm-trace codes J. Symbolic Comput. 48 54--63 (2013) Farrán, J. I. and Munuera, C. and Tizziotti, G. and Torres, F.
The second Feng-Rao number for codes coming from inductive semigroups IEEE Trans. Inform. Theory 61 4938--4947 (2015) Farrán, José I. and García-Sánchez, Pedro A.
Decoding Algebraic Geometry codes by a key equation Finite Fields and their Applications 6 207-217 (2000) J. I. Farrán
Goppa-like bounds for the generalized Feng–Rao distances Discrete Applied Mathematics 128 145-156 (2003) J. I. Farrán, C. Munuera
Higher order relations for a numerical semigroup Sém. Théor. Nombres Bordeaux (2) 3 249--260 (1991) Campillo, A. and Marijuan, C.
Combinatorics of syzygies for semigroup algebras Collect. Math. 49 239--256 (1998) Briales, Emilio and Pisón, Pilar and Campillo, Antonio and Marijuán, Carlos
Minimal systems of generators for ideals of semigroups J. Pure Appl. Algebra 124 7--30 (1998) Briales, E. and Campillo, A. and Marijuán, C. and Pisón, P.
A map of sufficient conditions for the real nonnegative inverse eigenvalue problem Linear Algebra Appl. 426 690--705 (2007) Marijuán, Carlos and Pisonero, Miriam and Soto, Ricardo L.
Classification of numerical 3-semigroups by means of L-shapes Semigroup Forum 88 670--688 (2014) Aguiló, Francesc and Marijuán, Carlos
Birational equivalence of reduced graphs J. Pure Appl. Algebra 124 173--199 (1998) Marijuán, Carlos
Matrices and spectra satisfying the Newton inequalities Linear Algebra Appl. 430 3030--3046 (2009) Johnson, C. R. and Marijuán, C. and Pisonero, M.
Spectra that are Newton after extension or translation Linear Algebra Appl. 433 1623--1641 (2010) Johnson, C. R. and Marijuán, C. and Pisonero, M.
Finite topologies and digraphs Proyecciones 29 291--307 (2010) Marijuán, Carlos
Minimal strong digraphs Discrete Math. 312 737--744 (2012) García-López, J. and Marijuán, C.
Submatrix monotonicity of the Perron root Linear Algebra Appl. 437 2429--2435 (2012) Johnson, C. R. and Marijuán, C. and Pisonero, M.
Inequalities for linear combinations of monomials in p-Newton sequences Linear Algebra Appl. 439 2038--2056 (2013) Johnson, C. R. and Marijuán, C. and Pisonero, M.
Submatrix monotonicity of the Perron root, II Linear Algebra Appl. 458 679--688 (2014) Furtado, Susana and Johnson, C. R. and Marijuán, C. and Pisonero, M.
On graph combinatorics to improve eigenvector-based measures of centrality in directed networks Linear Algebra Appl. 504 325--353 (2016) Arratia, Argimiro and Marijuán, Carlos
Exponential polynomial inequalities and monomial sum inequalities in p-Newton sequences Czechoslovak Math. J. 66 793--819 (2016) Johnson, Charles R. and Marijuán, Carlos and Pisonero, Miriam and Yeh, Michael
Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem Linear Algebra Appl. 512 129--135 (2017) Johnson, C. R. and Marijuán, C. and Pisonero, M.
The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs Linear Algebra and its Applications 426 729-773 (2007) Torre-Mayo, J.; Abril-Raymundo, M.R.; Alarcia-Estévez, E.; Marijuán, C.; Pisonero, M.
Comparison on the spectral radii of weighted digraphs that differ in a certain subdigraph Electronic Notes in Discrete Mathematics 0 85-90 (2016) Furtado, S., Johnson, C.R., Marijuán, C., Pisonero, M.
Structural and spectral properties of minimal strong digraphs Electronic Notes in Discrete Mathematics 0 91-96 (2016) Marijuán, C., García, J., Pozo, L.
Improved bounds on the threshold gap in ramp secret sharing IEEE Trans. Inform. Theory 65 4620--4633 (2019) Cascudo, Ignacio and Skovsted Gundersen, Jaron and Ruano, Diego
Squares of matrix-product codes Finite Fields Appl. 62 101606 (2020) Cascudo, Ignacio and Gundersen, Jaron Skovsted and Ruano, Diego
Entanglement-assisted quantum error-correcting codes over arbitrary finite fields Quantum Inf. Process. 18 Art. 116, 18 (2019) Galindo, Carlos and Hernando, Fernando and Matsumoto, Ryutaroh and Ruano, Diego
New binary and ternary LCD codes IEEE Trans. Inform. Theory 65 1008--1016 (2019) Galindo, Carlos and Geil, Olav and Hernando, Fernando and Ruano, Diego
Improved constructions of nested code pairs IEEE Trans. Inform. Theory 64 2444--2459 (2018) Galindo, Carlos and Geil, Olav and Hernando, Fernando and Ruano, Diego
On the distance of stabilizer quantum codes from $J$-affine variety codes Quantum Inf. Process. 16 Art. 111, 32 (2017) Galindo, Carlos and Geil, Olav and Hernando, Fernando and Ruano, Diego
Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower J. Algebra Comb. Discrete Struct. Appl. 4 37--47 (2017) Geil, Olav and Martin, Stefano and Martínez-Peñas, Umberto and Ruano, Diego
New quantum codes from evaluation and matrix-product codes Finite Fields Appl. 36 98--120 (2015) Galindo, Carlos and Hernando, Fernando and Ruano, Diego
Stabilizer quantum codes from $J$-affine variety codes and a new Steane-like enlargement Quantum Inf. Process. 14 3211--3231 (2015) Galindo, Carlos and Hernando, Fernando and Ruano, Diego
Relative generalized Hamming weights of one-point algebraic geometric codes IEEE Trans. Inform. Theory 60 5938--5949 (2014) Geil, Olav and Martin, Stefano and Matsumoto, Ryutaroh and Ruano, Diego and Luo, Yuan
Computational aspects of retrieving a representation of an algebraic geometry code J. Symbolic Comput. 64 67--87 (2014) Márquez-Corbella, Irene and Martínez-Moro, Edgar and Pellikaan, Ruud and Ruano, Diego
List decoding of repeated codes Appl. Algebra Engrg. Comm. Comput. 24 237--253 (2013) Hernando, Fernando and O'Sullivan, Michael and Ruano, Diego
Feng-Rao decoding of primary codes Finite Fields Appl. 23 35--52 (2013) Geil, Olav and Matsumoto, Ryutaroh and Ruano, Diego
Generalization of the Lee-O'Sullivan list decoding for one-point AG codes J. Symbolic Comput. 55 1--9 (2013) Matsumoto, Ryutaroh and Ruano, Diego and Geil, Olav
Decoding of matrix-product codes J. Algebra Appl. 12 1250185, 15 (2013) Hernando, Fernando and Ruano, Diego
Bounding the number of points on a curve using a generalization of Weierstrass semigroups Des. Codes Cryptogr. 66 221--230 (2013) Beelen, Peter and Ruano, Diego
List decoding of matrix-product codes from nested codes: an application to quasi-cyclic codes Adv. Math. Commun. 6 259--272 (2012) Hernando, Fernando and Ho holdt, Tom and Ruano, Diego
On the order bounds for one-point AG codes Adv. Math. Commun. 5 489--504 (2011) Geil, Olav and Munuera, Carlos and Ruano, Diego and Torres, Fernando
New linear codes from matrix-product codes with polynomial units Adv. Math. Commun. 4 363--367 (2010) Hernando, Fernando and Ruano, Diego
Construction and decoding of matrix-product codes from nested codes Appl. Algebra Engrg. Comm. Comput. 20 497--507 (2009) Hernando, Fernando and Lally, Kristine and Ruano, Diego
On the structure of generalized toric codes J. Symbolic Comput. 44 499--506 (2009) Ruano, Diego
On the parameters of $r$-dimensional toric codes Finite Fields Appl. 13 962--976 (2007) Ruano, Diego
Computing the Feng-Rao distances for codes from order domains J. Algebra 309 672--682 (2007) Ruano, Diego
Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve Semigroup Forum 98 543--555 (2019) Geil, Olav and Ozbudak, Ferruh and Ruano, Diego
Classical and quantum evaluation codes at the trace roots IEEE Trans. Inform. Theory 65 2593--2602 (2019) Galindo, Carlos and Hernando, Fernando and Ruano, Diego
List decoding algorithm based on voting in Gröbner bases for general one-point AG codes J. Symbolic Comput. 79 384--410 (2017) Matsumoto, Ryutaroh and Ruano, Diego and Geil, Olav
Fulcrum: Flexible Network Coding for Heterogeneous Devices IEEE Access 5 77890--77910 (2018) Lucani, D.E. and Pedersen, M.V. and Ruano, D. and Sørensen, C.W. and Fitzek, F.H.P. and Heide, J. and Geil, O. and Nguyen, V. and Reisslein, M.
On asymptotically good ramp secret sharing schemes IEICE Trans. Fundamentals 100 2699--2708 (2017) Geil, Olav and Martin, Stefano and Martínez-Peñas, Umberto and Matsumoto, Ryutaroh and Ruano, Diego
Asymmetric entanglement-assisted quantum error-correcting codes and BCH codes IEEE Access 8 18571-18579 (2020) Galindo, Carlos and Hernando, Fernando and and Matsumoto, Ryutaroh and Ruano, Diego
High dimensional affine codes whose square has a designed minimum distance Des. Codes Cryptogr. 88 1653--1672 (2020) García-Marco, Ignacio and Márquez-Corbella, Irene and Ruano, Diego
Entanglement-assisted quantum error correcting codes from RS codes and BCH codes with extension degree 2 Quantum Inf. Process. 20 26 pp (2021) C. Galindo, F. Hernando, D. Ruano
An algorithmic approach to entanglement-assisted quantum error-correcting codes from the Hermitian curve Adv. Math. Commun. 17 78-97 (2023) R.B. Christensen, C. Munuera, F.R.F. Pereira, D. Ruano
Stabilizer quantum codes defined by trace-depending polynomials Finite Fields their Appl. 87 33 pp (2023) C. Galindo, F. Hernando, H. Martín-Cruz, D. Ruano
Proyectos:
Geometría algebraica de las singularidades, computación e información
Singularidades, valoraciones y geometría. Algebras Graduadas
Geometría e información. Problemas discretos, aritméticos y no conmutativos
Singularidades, Valoraciones y Álgebras Graduadas. Codificación.
Singularidades y Geometría Algebraica. Semigrupos y AG-códigos correctores.
Teoría de Códigos y Tendencias Algebraicas para Criptografía, Almacenamiento de Datos Distribuidos, Aprendizaje Automático e Información Cuántica.
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