The Nash problem on arc families of singularities

dc.creatorIshii, Shihoko
dc.creatorKollár, János
dc.date2002-07-19
dc.date2003-02-03
dc.date.accessioned2026-07-07T04:49:46Z
dc.date.available2026-07-07T04:49:46Z
dc.descriptionNash proved that every irreducible component of the space of arcs through a singularity corresponds to an exceptional divisor that occurs on every resolution. He asked if the converse also holds: does every such exceptional divisor correspond to an arc family? We prove that the converse holds for toric singularities but fails in general.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0207171
dc.identifierhttp://arxiv.org/abs/math/0207171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64548
dc.subjectAlgebraic Geometry
dc.subject14J17, 14M25, 14J10
dc.titleThe Nash problem on arc families of singularities
dc.typetext

Files

Collections