Factorization Theorem for projective varieties with finite quotient singularities
Hu, Yi
J. Differential Geom., Tome 66 (2004) no. 3, p. 545-551 / Harvested from Project Euclid
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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.
Publié le : 2004-11-14
Classification:  
@article{1115669595,
     author = {Hu, Yi},
     title = {Factorization Theorem for projective varieties with finite quotient singularities},
     journal = {J. Differential Geom.},
     volume = {66},
     number = {3},
     year = {2004},
     pages = { 545-551},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1115669595}
}

Hu, Yi. Factorization Theorem for projective varieties with finite quotient singularities. J. Differential Geom., Tome 66 (2004) no. 3, pp.  545-551. http://gdmltest.u-ga.fr/item/1115669595/