Torification and factorization of birational maps
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- 5 April 2002
- journal article
- Published by American Mathematical Society (AMS) in Journal of the American Mathematical Society
- Vol. 15 (3) , 531-572
- https://doi.org/10.1090/s0894-0347-02-00396-x
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.Keywords
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