English

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

Algebraic Geometry 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/9904146,
  title  = {A GIT proof of W{\l}odarczyk's weighted factorization theorem},
  author = {Yi Hu and Sean Keel},
  journal= {arXiv preprint arXiv:math/9904146},
  year   = {2007}
}

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5 pages