Maximal divisorial sets in arc spaces
Algebraic Geometry
2007-05-23 v1
Abstract
In this paper we introduce a maximal divisorial set in the arc space of a variety. The generalized Nash problem is reduced to a translation problem of the inclusion of two maximal divisorial sets. We study this problem and show a counter example to the most natural expectation even for a non-singular variety.
Cite
@article{arxiv.math/0612185,
title = {Maximal divisorial sets in arc spaces},
author = {Shihoko Ishii},
journal= {arXiv preprint arXiv:math/0612185},
year = {2007}
}
Comments
12pages, to appear in Proceeding Algebraic Geometry in East Asia--Hanoi 2005