Torification and factorization of birational maps-Reference-Cited by-同舟云学术

Torification and factorization of birational maps

Published:2002-04-05 Issue:3 Volume:15 Page:531-572
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Abramovich Dan,Karu Kalle,Matsuki Kenji,Włodarczyk Jarosław

Abstract

Building on work of the fourth author and Morelli’s work, 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 K of characteristic zero is a composite of blowings up and blowings down with nonsingular centers.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2002-15-03/S0894-0347-02-00396-X/S0894-0347-02-00396-X.pdf

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