Factorization Theorem for Projective Varieties with Finite Quotient Singularities
代数几何
2007-05-23 v1 微分几何
摘要
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.
引用
@article{arxiv.math/0502461,
title = {Factorization Theorem for Projective Varieties with Finite Quotient Singularities},
author = {Yi Hu},
journal= {arXiv preprint arXiv:math/0502461},
year = {2007}
}