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math.AG2023
On the Kodaira--Saito vanishing theorem of weakly ample divisor
Yongpan Zou
On smooth projective variety, for a reduced effective divisor which is weakly ample in the sense of cohomology, we introduce a Kadaira--Saito vanishing theorem for it.
math.AG2021
Nakano Positivity of direct image sheaves of adjoint line bundles with mild singularities
Yongpan Zou
In this note, we generalized Berndtsson's result about the Nakano positivity of direct image sheaves to some special singular cases.