A criterion for extending morphisms from open subsets of smooth fibrations of algebraic varieties
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911872947585024 |
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| author | Kanev, Vassil |
| author_facet | Kanev, Vassil |
| contents | Given a smooth morphism $Y\to S$ and a proper morphism $P\to S$ of algebraic varieties we give a sufficient condition for extending an $S$-morphism $U\to P$, where $U$ is an open subset of $Y$, to an $S$-morphism $Y\to P$, analogous to Zariski's main theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06369 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A criterion for extending morphisms from open subsets of smooth fibrations of algebraic varieties Kanev, Vassil Algebraic Geometry 14A10 (Primary) 14D06 (Secondary) Given a smooth morphism $Y\to S$ and a proper morphism $P\to S$ of algebraic varieties we give a sufficient condition for extending an $S$-morphism $U\to P$, where $U$ is an open subset of $Y$, to an $S$-morphism $Y\to P$, analogous to Zariski's main theorem. |
| title | A criterion for extending morphisms from open subsets of smooth fibrations of algebraic varieties |
| topic | Algebraic Geometry 14A10 (Primary) 14D06 (Secondary) |
| url | https://arxiv.org/abs/2405.06369 |