4 papers
On Pseudo-Effectivity and Volumes of Adjoint Classes in Kähler Families with Projective Central Fiber
Christopher D. Hacon, Yi Li, Sheng Rao
This paper is devoted to studying the deformation behavior of pseudo-effective canonical divisors and volumes of adjoint classes in Kähler families. Based on recent developments i…
Deformation of nef adjoint canonical line bundles
Mu-Lin Li, Sheng Rao, Kai Wang
Much inspired by J. A. WiÅniewski's nef-value function method, we prove that in a smooth projective family over the unit disk, if the adjoint bundle of the canonical line bundle w…
Rigidity for compact hyperbolic complex manifolds
Mu-Lin Li, Sheng Rao, Mengjiao Wang
We study the deformation behavior of compact hyperbolic complex manifolds. Let be a smooth family of compact complex manifolds over the unit disk in…
Smooth deformation limit of Moishezon manifolds is Moishezon
Mu-Lin Li, Sheng Rao, Kai Wang +1
We prove the conjecture that the deformation limit of Moishezon manifolds under a smooth deformation over a unit disk in is Moishezon.