# Mathematics Research Institute

## On some open problems concerning the space of arcs of a singular algebraic variety.

### Monique Lejeune Jalabert (CNRS-Université de Versailles)

Fecha: 10/06/2014 12:30
Lugar: Seminario A125
Grupo: Grupo de investigación ECSING

Abstract:
I shall first recall the definition of the space of arcs of an algebraic variety V, and the problem, proposed by J.Nash in the mid-sixties, concerning the irreducible components of the subscheme of those arcs centered in the singular locus of V. Then I will formulate some questions concerning these irreducible components, which stay open. Next, I will formulate questions on the graded algebra structure of the space of those arcs centered in a given point of V.