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