Local factorization and monomialization of morphisms
| dc.creator | Cutkosky, Steven Dale | |
| dc.date | 1998-03-17 | |
| dc.date | 1998-04-14 | |
| dc.date.accessioned | 2026-07-07T05:24:07Z | |
| dc.date.available | 2026-07-07T05:24:07Z | |
| dc.description | Suppose that X to Y is a generically finite map of nonsingular varieties over a field of characteristic zero, and v is a valuation of the function field of X. We prove that it is possible to perform a sequence of monoidal transforms X' to X and Y' to Y so that X' to Y' is a monomial mapping at the center of v. We deduce from this that a birational morphism of nonsingular varieties can be factored along a valuation by a sequence of blowups and blowdowns with nonsingular centers. | |
| dc.description | 145 pages In the revision a new chapter (chapter 6) has been added which proves a stronger local factorization Theorem. The introduction has also been modified. There are no other changes from the original March '98 submission | |
| dc.identifier | https://arxiv.org/abs/math/9803078 | |
| dc.identifier | http://arxiv.org/abs/math/9803078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76711 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14E, 13B | |
| dc.title | Local factorization and monomialization of morphisms | |
| dc.type | text |