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.
Information
Published: 1 January 2008
First available in Project Euclid: 16 December 2018
zbMATH: 1162.14022
MathSciNet: MR2409559
Digital Object Identifier: 10.2969/aspm/05010237
Subjects:
Primary:
14J17
Secondary:
14M99
Keywords:
arc space
,
Nash problem
,
valuation
Rights: Copyright © 2008 Mathematical Society of Japan
