A note on the factorization theorem of toric birational maps after Morelliand its toroidal extension

Citation
D. Abramovich et al., A note on the factorization theorem of toric birational maps after Morelliand its toroidal extension, TOHOKU MATH, 51(4), 1999, pp. 489-537
Citations number
40
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
TOHOKU MATHEMATICAL JOURNAL
ISSN journal
0040-8735 → ACNP
Volume
51
Issue
4
Year of publication
1999
Pages
489 - 537
Database
ISI
SICI code
0040-8735(199912)51:4<489:ANOTFT>2.0.ZU;2-3
Abstract
Building upon a work of Morelli, we give a coherent presentation of Morelli 's algorithm for the weak and strong factorization of toric birational maps . We also discuss its toroidal extension, which plays a crucial role in the recent solutions by Wlodarczyk and Abramovich-Karu-Matsuki-Wlodarczyk of t he weak factorization conjecture of general birational maps.