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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 (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.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 to the unit polydisc . Suppose the fibers over the complement of a proper analytic subset a…