20 citations · 67 across the 16 of their papers we have counts for
4 papers · 1 filter
Extension formulas and deformation invariance of Hodge numbers
Sheng Rao, Quanting Zhao
We introduce a canonical isomorphism from the space of pure-type complex differential forms on a compact complex manifold to the one on its infinitesimal deformations. By use of th…
Hodge cohomology on blow-ups along subvarieties
Sheng Rao, Song Yang, Xiangdong Yang +1
We establish a blow-up formula for Hodge cohomology of locally free sheaves on smooth proper varieties over an algebraically closed field of positive characteristic. For this, we i…
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…
Deformation limit and bimeromorphic embedding of Moishezon manifolds
Sheng Rao, I-Hsun Tsai
Let be a holomorphic family of compact complex manifolds over an open disk in . If the fiber for each nonzero in an uncoun…