Conics on smooth quartic surfaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910018162393088 |
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| author | Degtyarev, Alex |
| author_facet | Degtyarev, Alex |
| contents | We prove that the maximal number of conics, a priori irreducible of reducible, on a smooth spatial quartic surface is 800, realized by a unique quartic. We also classify quartics with many (at least 720) conics. The maximal number of real conics on a real quartics is between 656 and 718. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00493 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conics on smooth quartic surfaces Degtyarev, Alex Algebraic Geometry 14J28, 14N25 We prove that the maximal number of conics, a priori irreducible of reducible, on a smooth spatial quartic surface is 800, realized by a unique quartic. We also classify quartics with many (at least 720) conics. The maximal number of real conics on a real quartics is between 656 and 718. |
| title | Conics on smooth quartic surfaces |
| topic | Algebraic Geometry 14J28, 14N25 |
| url | https://arxiv.org/abs/2407.00493 |