Arc spaces of cA-type singularities
Algebraic Geometry
2013-06-06 v1
Abstract
We study the space of arcs on a singularity of the form xy=f(z_1,..., z_n) and prove 2 main results. (i) The number of irreducible components equals the multiplicity of f minus 1. (ii) If n>1 and the leading homogeneous term of f is not a perfect square then the Nash map from the set of irreducible components to the set of essential divisors is not surjective.
Cite
@article{arxiv.1306.1208,
title = {Arc spaces of cA-type singularities},
author = {Jennifer M. Johnson and János Kollár},
journal= {arXiv preprint arXiv:1306.1208},
year = {2013}
}
Comments
This paper supersedes arXiv:1207.5036