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math.CV2026
Matsumura's extension problem for pluricanonical forms in Kähler families I: the smooth and essentially Moishezon cases
Jian Chen, Sheng Rao, Kai Wang
In this paper, we study a problem posed by Matsumura on the extension of pluricanonical forms in Kähler families with a relatively nef canonical bundle. We give an affirmative answ…
math.CV2025
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 $\…
math.CV2024
Upper semicontinuity of algebraic dimension
Mu-Lin Li, Sheng Rao, Kai Wang +1
We prove the conjecture that the deformation limit of Moishezon manifolds under a smooth deformation over the unit disc in is Moishezon. More generally, for a proper h…