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math.CV2022
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…
math.CV2022
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…
math.CV2019
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…