Maximal divisorial sets in arc spaces

Details Maximal divisorial sets in arc spaces Maximal divisorial sets in arc spaces

2006-12-07

arxiv.org/abs/math/0612185v1

Mathematics

Algebraic Geometry

12pages, to appear in Proceeding Algebraic Geometry in East Asia--Hanoi 2005

Scientific paper

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.

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