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.
Citation
Yi Hu. "Factorization Theorem for projective varieties with finite quotient singularities." J. Differential Geom. 68 (3) 545 - 551, Nov 2004. https://doi.org/10.4310/jdg/1115669595
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