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math.AG2026
Deformation invariance of canonical nefness in smooth Kahler morphisms
Mu-Lin Li, Xiao-Lei Liu, Sheng Rao
Let be a smooth Kähler morphism from complex manifold to the unit disc. We prove that the canonical bundle is nef for \emph{every} fiber as soon as it…
math.AG2026
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 in…
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…