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.
Original language | English (US) |
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Pages (from-to) | 545-551 |
Number of pages | 7 |
Journal | Journal of Differential Geometry |
Volume | 68 |
Issue number | 3 |
DOIs | |
State | Published - 2004 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology