Mu-lin Li

activity

20242026

collaborators

6 papers

math.AG2026

Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension

Mu-Lin Li

Let $π:\X\to\D$ be a proper holomorphic submersion with connected fibers, and suppose that $X_{t}$ is biholomorphic to a fixed smooth Moishezon manifold $S$ for every $t \neq = 0$ . If $κ(…

math.AG2026

Local isomorphisms for families of projective non-unruled manifolds

Mu-Lin Li

Let $π\cln \cX\to S$ and $π\cln \cY\to S$ be two smooth families of projective non-uniruled manifolds over a Riemann surface $S$ (probably non-compact). Suppose these two families…

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.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 $π : X \to Δ$ be a smooth family of compact complex manifolds over the unit disk in $\…

math.AG2024

Deformation rigidity for projective manifolds and isotriviality of smooth families

Mu-Lin Li, Xiao-Lei Liu

Let $π\cln X\to Δ^m$ be a proper smooth Kähler morphism from a complex manifold $X$ to the unit polydisc $Δ^{m}$ . Suppose the fibers over the complement of a proper analytic subset a…

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 $C$ is Moishezon. More generally, for a proper h…