Factorization theorem for projective varieties with finite quotient singularities

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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 languageEnglish (US)
Pages (from-to)545-551
Number of pages7
JournalJournal of Differential Geometry
Volume68
Issue number3
DOIs
StatePublished - 2004

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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