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VOL. 50 | 2008 Maximal divisorial sets in arc spaces

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

Rights: Copyright © 2008 Mathematical Society of Japan

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