3 papers
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.AG2025
Deformation of nef adjoint canonical line bundles
Mu-Lin Li, Sheng Rao, Kai Wang
Much inspired by J. A. Wiśniewski'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 wi…
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…