20 citations · 67 across the 16 of their papers we have counts for
16 papers
Characterization of fiberwise bimeromorphism and specialization of bimeromorphic types I: locally Moishezon case
Jian Chen, Sheng Rao, I-Hsun Tsai
Inspired by the recent works of M. Kontsevich--Y. Tschinkel and J. Nicaise--J. C. Ottem on specialization of birational types for smooth families (in the scheme category) and J. Ko…
On extension of closed complex (basic) differential forms: (basic) Hodge numbers and (transversely) -Kähler structures
Sheng Rao, Runze Zhang
Inspired by a recent work of D. Wei--S. Zhu on the extension of closed complex differential forms and Voisin's usage of the -lemma, we obtain several new th…
Invariance of plurigenera and Chow-type lemma
Sheng Rao, I-Hsun Tsai
This paper answers a question of Demailly whether a smooth family of nonsingular projective varieties admits the deformation invariance of plurigenera affirmatively, and proves thi…
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…