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arXiv · 2605.04390

Local isomorphisms for families of projective non-unruled manifolds

Mu-Lin Li
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Abstract

Let $\pi\cln \cX\to S$ and $\pi\cln \cY\to S$ be two smooth families of projective non-uniruled manifolds over a Riemann surface $S$ (probably non-compact). Suppose these two families are pointwise isomorphic. We prove that there exists an open dense subset $U\subset S$ such that the two restricted families are locally isomorphic over $U$. This partially answers Wehler's question on locally isomorphic of families of compact complex manifolds.

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Mu-Lin Li. 2026-05-06. Local isomorphisms for families of projective non-unruled manifolds. https://arxiv.org/abs/2605.04390

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