Fano hypersurfaces in positive characteristic
We prove that a general Fano hypersurface in a projective space over an algebraically closed field is separably rationally connected.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-02-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.438/ |
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| _version_ | 1825206205364043776 |
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| author | Zhu, Yi |
| author_facet | Zhu, Yi |
| author_sort | Zhu, Yi |
| collection | DOAJ |
| description | We prove that a general Fano hypersurface in a projective space over an algebraically closed field is separably rationally connected. |
| format | Article |
| id | doaj-art-02a5dd5dff754e2ba65b5e9d59edc29d |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-02a5dd5dff754e2ba65b5e9d59edc29d2025-02-07T11:12:54ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-02-01362G110711510.5802/crmath.43810.5802/crmath.438Fano hypersurfaces in positive characteristicZhu, Yi0United StatesWe prove that a general Fano hypersurface in a projective space over an algebraically closed field is separably rationally connected.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.438/ |
| spellingShingle | Zhu, Yi Fano hypersurfaces in positive characteristic Comptes Rendus. Mathématique |
| title | Fano hypersurfaces in positive characteristic |
| title_full | Fano hypersurfaces in positive characteristic |
| title_fullStr | Fano hypersurfaces in positive characteristic |
| title_full_unstemmed | Fano hypersurfaces in positive characteristic |
| title_short | Fano hypersurfaces in positive characteristic |
| title_sort | fano hypersurfaces in positive characteristic |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.438/ |
| work_keys_str_mv | AT zhuyi fanohypersurfacesinpositivecharacteristic |