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Factorization Theorem for Projective Varieties with Finite Quotient Singularities

Yi Hu
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Abstract

In this paper, we prove that any two birational projective varieties with finite quotient singularities can be realized as two geometric GIT quotients of a non-singular projective variety by a reductive algebraic group. Then, by applying the theory of Variation of Geometric Invariant Theory Quotients ([3]), we show that they are related by a sequence of GIT wall-crossing flips.

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BibTeXRIS

Yi Hu. 2005-02-22. Factorization Theorem for Projective Varieties with Finite Quotient Singularities. https://arxiv.org/abs/math/0502461

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