2 citations · 2 across the 5 of their papers we have counts for
6 papers
On direct images of twisted pluricanonical sheaves on normal varieties
Chih-Chi Chou, Lei Song
We study the depth properties of certain direct image sheaves on normal varieties. Let be a proper morphism of relative dimension from a smooth variety onto…
Singularities of secant varieties
Chih-Chi Chou, Lei Song
We study the singularities of the secant variety associated to a smooth variety embedded by a sufficiently positive adjoint bundle . We show that is always…
A vanishing theorem for log canonical pairs after De Fernex-Ein
Chih-Chi Chou
We extend the main vanishing theorem in a paper of de Fernex and Ein to singular varieties without assuming locally complete intersection.
On isolated log canonical centers
Chih-Chi Chou
In this paper, we show that the depth of an isolated log canonical center is determined by the cohomology of the -1 discrepancy diviors over it. A similar result also holds for nor…
Some applications of Grothendieck Duality Theorem
Chih-Chi Chou
In this paper, we systematically apply Grothendieck duality theorem to simplify the proofs of several theorems in different papers: Including a vanishing theorem in KMM, a theorem…
A Transversality Theorem for some Classical Varieties
Chih-Chi Chou
In 2009, de Fernex and Hacon proposed a generalization of the notion of the singularities to normal varieties that are not Q-Gorenstein. Based on their work, we generalize Kleiman'…