1 citations · 1 across the 5 of their papers we have counts for
6 papers
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.
Note on the singular Hermitian metrics with analytic singularities
Yongpan Zou
We study the sheaf of locally square integrable holomorphic section of vector bundle with semi-positive curved singular Hermitian metric. We confirm the coherence when its induced…
Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex Kähler manifolds
Yongpan Zou
In this paper, we establish a logarithmic vanishing theorem on weakly pseudoconvex Kähler manifolds, where the divisor may have infinitely many irreducible components. This result…
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.
On the Morse--Novikov Cohomology of blowing up complex manifolds
Yongpan Zou
Inspired by the recent works of S. Rao--S. Yang--X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse--Novikov cohomology groups, we give a new simple proof of the…
On Tian-Todorov lemma and its applications to deformation of CR-structures
Sheng Rao, Yongpan Zou
We give a new Tian-Todorov lemma on deformations of CR-structures and use it to reprove the deformation unobstructedness of normal compact strongly pseudoconvex CR-manifold under t…