Maximal divisorial sets in arc spaces
Abstract
Description
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.
12pages, to appear in Proceeding Algebraic Geometry in East Asia--Hanoi 2005
12pages, to appear in Proceeding Algebraic Geometry in East Asia--Hanoi 2005