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math.AG2003
Holomorphic forms on threefolds
Tie Luo, Qi Zhang
Two conjectures relating the Kodaira dimension of a smooth projective variety and existence of number of nowhere vanishing 1-forms on the variety are proposed and verified in dimen…
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…