Arc spaces of cA_1 singularities
Algebraic Geometry
2013-06-11 v3
Abstract
Let p be a singular point of a complex hypersurface whose tangent cone is a quadric of rank at least 3. We show that the space of arcs through p is irreducible. Using a method of de Fernex, this shows that the Nash problem has a negative answer for x^2+y^2+z^2+t^5=0. Version 2: Several small corrections.
Cite
@article{arxiv.1207.5036,
title = {Arc spaces of cA_1 singularities},
author = {János Kollár},
journal= {arXiv preprint arXiv:1207.5036},
year = {2013}
}
Comments
The paper is entirely superseded by arXiv:1306.1208