Torification and Factorization of Birational Maps
| dc.creator | Abramovich, Dan | |
| dc.creator | Karu, Kalle | |
| dc.creator | Matsuki, Kenji | |
| dc.creator | Włodarczyk, Jarosław | |
| dc.date | 1999-04-23 | |
| dc.date | 2000-05-31 | |
| dc.date.accessioned | 2026-07-07T05:28:48Z | |
| dc.date.available | 2026-07-07T05:28:48Z | |
| dc.description | Building on the work of the fourth author in math.AG/9904074, we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field K of characteristic zero is a composite of blowings up and blowings down with smooth centers. Such a factorization exists which is functorial with respect to absolute isomorphisms, and compatible with a normal crossings divisor. The same holds for algebraic and analytic spaces. Another proof of the main theorem by the fourth author appeared in math.AG/9904076. | |
| dc.description | The previous versions of this paper used Morelli's algorithm for strong factorization of toric birational maps, in which a gap was recently found by K. Karu. In this version we rely only on weak factorization of toric birational maps (due to Wlodarczyk and Morelli). The results remain the same | |
| dc.identifier | https://arxiv.org/abs/math/9904135 | |
| dc.identifier | http://arxiv.org/abs/math/9904135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78399 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 14E05;14L30;14M25;58E05;57R90 | |
| dc.title | Torification and Factorization of Birational Maps | |
| dc.type | text |