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A GIT proof of W{\l}odarczyk's weighted factorization theorem

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arxiv math/9904146 v1 pith:DDXL3BOG submitted 1999-04-26 math.AG

classification math.AG
keywords prooftheoremweightedbirationalblowdownsblowupscharacteristiccomposition
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We give a short proof of W{\lodarczyk's theorem that any birational map between smooth projective varieties in characteristic zero is a composition of weighted blowups and blowdowns.

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