2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119870In 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 2005Algebraic Geometry14J17text