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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2411.08252 |
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| _version_ | 1866912116920811520 |
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| author | Gramzow, Johann |
| author_facet | Gramzow, Johann |
| contents | This paper shows that for certain local topological properties, given a locally quasi-finite, flat and locally finitely presented map of schemes $f\colon X\to Y$, if $Y$ has the property, then so does $X$. We also show that being locally topologically noetherian or locally connected or having locally finitely many irreducible components are examples for these local topological properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08252 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inheritance of local topological properties of schemes Gramzow, Johann Algebraic Geometry 14B25, 14A15 (Primary) This paper shows that for certain local topological properties, given a locally quasi-finite, flat and locally finitely presented map of schemes $f\colon X\to Y$, if $Y$ has the property, then so does $X$. We also show that being locally topologically noetherian or locally connected or having locally finitely many irreducible components are examples for these local topological properties. |
| title | Inheritance of local topological properties of schemes |
| topic | Algebraic Geometry 14B25, 14A15 (Primary) |
| url | https://arxiv.org/abs/2411.08252 |