Local monomialization of transcendental extensions
| dc.creator | Cutkosky, Steven Dale | |
| dc.date | 2002-12-13 | |
| dc.date.accessioned | 2026-07-07T04:53:46Z | |
| dc.date.available | 2026-07-07T04:53:46Z | |
| dc.description | Suppose that f is a dominant morphism from a k-variety X to a k-variety Y, where k is a field of characteristic 0 and v is a valuation of the function field k(X). We allow v to be an arbitary valuation, so it may not be discrete. We prove that there exist sequences of blowups of nonsingular subvarieties from X' to X and from Y' to Y such that X', Y' are nonsingular and X' to Y' is locally a monomial mapping near the center of v. This extends an earlier result of ours (in Asterisque 260) which proves the above result with the restriction that f is generically finite. | |
| dc.description | 50 pages | |
| dc.identifier | https://arxiv.org/abs/math/0212184 | |
| dc.identifier | http://arxiv.org/abs/math/0212184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65981 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14B05, 14E05, 13A18, 13B10 | |
| dc.title | Local monomialization of transcendental extensions | |
| dc.type | text |