Arcs, valuations and the Nash map
| dc.creator | Ishii, Shihoko | |
| dc.date | 2004-10-25 | |
| dc.date | 2005-02-23 | |
| dc.date.accessioned | 2026-07-07T05:13:40Z | |
| dc.date.available | 2026-07-07T05:13:40Z | |
| dc.description | This paper gives a map from the set of families of arcs on a variety to the set of valuations on the rational function field of the variety We characterize a family of arcs which corresponds to a divisorial valuation by this map. We can see that both the Nash map and a certain McKay correspondence are the restrictions of this map. This paper also gives the affirmative answer to the Nash problem for a non-normal variety in a certain category. As a corollary, we get the affirmative answer for a non-normal toric variety. | |
| dc.description | One wrong statement in Theorem 3.6 was deleted. This does not affect the rest of this paper | |
| dc.identifier | https://arxiv.org/abs/math/0410526 | |
| dc.identifier | http://arxiv.org/abs/math/0410526 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72995 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J17 | |
| dc.title | Arcs, valuations and the Nash map | |
| dc.type | text |