20 citations · 45 across the 5 of their papers we have counts for
10 papers
Geometric Invariant Theory and Birational Geometry
Yi Hu
In this paper we will survey some recent developments in the last decade or so on variation of Geometric Invariant Theory and its applications to Birational Geometry such as the we…
Factorization Theorem for Projective Varieties with Finite Quotient Singularities
Yi Hu
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…
Toric degenerations of weight varieties and applications
Philip Foth, Yi Hu
We show that a weight variety, which is a quotient of a flag variety by the maximal torus, admits a flat degeneration to a toric variety. In particular, we show that the moduli spa…
Stable Configurations of Linear Subspaces and Quotient Coherent Sheaves
Yi Hu
In this paper we provide some stability criteria for systems of linear subspaces of and for systems of quotient coherent sheaves, using, respectively, the Hilbert-Mum…
Topological Aspects of Chow Quotients
Yi Hu
This paper studies the canonical Chow quotient of a smooth projective variety by a reductive algebraic group. The main purpose is to give some topological interpretations and chara…
HyperKähler Manifolds and Birational Transformations
Yi Hu, S. -T. Yau
In this paper we study the birational geometry of HyperKaehler manifolds by combining the method of minimal model program and the traditional approach of symplectic geometry.