3 papers
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.DG2019
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…
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…