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math.AG2000
Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces
Yi Hu, Chien-Hao Liu, Shing-Tung Yau
Special fibrations of toric varieties have been used by physicists, e.g. the school of Candelas, to construct dual pairs in the study of Het/F-theory duality. Motivated by this, we…
math.AG2000
HyperKähler Manifolds and Birational Transformations in dimension 4
Dan Burns, Yi Hu, Tie Luo
We show that any birational map between projective hyperKähler manifolds of dimension 4 is composed of a sequence of simple flops or elementary Mukai transformations under the assu…
math.AG2000
Mori Dream Spaces and GIT
Yi Hu, Sean Keel
The main goal of this paper is to study varieties with the best possible Mori theoretic properties (measured by the existence of a certain decomposition of the cone of effective di…