Factorization theorem for projective varieties with finite quotient singularities (Q2566627)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorization theorem for projective varieties with finite quotient singularities |
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Factorization theorem for projective varieties with finite quotient singularities (English)
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26 September 2005
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It is proved that any two birational projective varieties with finite quotient singularities can be realized as two geometric quotients of a non--singular projective variety by a reductive algebraic group. As a consequence one obtains that one of the varieties can be obtained from the other one by a sequence of so called GIT weighted blowups and blowdowns.
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birational projective varieties
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geometric invariant theory
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