Local isomorphisms for families of projective non-unruled manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914533585453056 |
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| author | Li, Mu-Lin |
| author_facet | Li, Mu-Lin |
| contents | 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 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04390 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local isomorphisms for families of projective non-unruled manifolds Li, Mu-Lin Algebraic Geometry 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 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. |
| title | Local isomorphisms for families of projective non-unruled manifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.04390 |