Factorization Theorem for Projective Varieties with Finite Quotient Singularities

Details Factorization Theorem for Projective Varieties with Finite Quotient Singularities Factorization Theorem for Projective Varieties with Finite Quotient Singularities

2005-02-22

arxiv.org/abs/math/0502461v1

J. Differential Geometry, 68 (2004), 587-593

Mathematics

Algebraic Geometry

Scientific paper

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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