Lines in supersingular quartics
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2016
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| _version_ | 1866929261633339392 |
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| author | Degtyarev, Alex |
| author_facet | Degtyarev, Alex |
| contents | We show that the number of lines contained in a supersingular quartic surface is 40 or at most 32, if the characteristic of the field equals 2, and it is 112, 58, or at most 52, if the characteristic equals 3. If the quartic is not supersingular, the number of lines is at most 60 in both cases. We also give a complete classification of large configurations of lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1604_05836 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Lines in supersingular quartics Degtyarev, Alex Algebraic Geometry 14J28, 14J27, 14N25 We show that the number of lines contained in a supersingular quartic surface is 40 or at most 32, if the characteristic of the field equals 2, and it is 112, 58, or at most 52, if the characteristic equals 3. If the quartic is not supersingular, the number of lines is at most 60 in both cases. We also give a complete classification of large configurations of lines. |
| title | Lines in supersingular quartics |
| topic | Algebraic Geometry 14J28, 14J27, 14N25 |
| url | https://arxiv.org/abs/1604.05836 |