Functorial flatification of proper morphisms
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915104168083456 |
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| author | Rydh, David |
| author_facet | Rydh, David |
| contents | For proper morphisms, we give a functorial flatification algorithm by blow-ups in the spirit of Hironaka's flatification algorithm. In characteristic zero, this gives functorial flatification by blow-ups in smooth centers. We also give a functorial étalification algorithm by Kummer blow-ups in characteristic zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08394 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Functorial flatification of proper morphisms Rydh, David Algebraic Geometry 14B25 (Primary), 14E05, 14E22 (Secondary) For proper morphisms, we give a functorial flatification algorithm by blow-ups in the spirit of Hironaka's flatification algorithm. In characteristic zero, this gives functorial flatification by blow-ups in smooth centers. We also give a functorial étalification algorithm by Kummer blow-ups in characteristic zero. |
| title | Functorial flatification of proper morphisms |
| topic | Algebraic Geometry 14B25 (Primary), 14E05, 14E22 (Secondary) |
| url | https://arxiv.org/abs/2501.08394 |