Factorization Theorem for Projective Varieties with Finite Quotient Singularities

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74278In 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.Algebraic GeometryDifferential GeometryFactorization Theorem for Projective Varieties with Finite Quotient Singularitiestext