On equations of fake projective planes with automorphism group of order $21$
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866914528903561216 |
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| author | Borisov, Lev |
| author_facet | Borisov, Lev |
| contents | We study Dolgachev elliptic surfaces with a double and a triple fiber and find explicit equations of two new pairs of fake projective plane with $21$ automorphisms, thus finishing the task of finding explicit equations of fake projective planes with this automorphism group. This includes, in particular, the fake projective plane discovered by J. Keum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_02070 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On equations of fake projective planes with automorphism group of order $21$ Borisov, Lev Algebraic Geometry 14J29 We study Dolgachev elliptic surfaces with a double and a triple fiber and find explicit equations of two new pairs of fake projective plane with $21$ automorphisms, thus finishing the task of finding explicit equations of fake projective planes with this automorphism group. This includes, in particular, the fake projective plane discovered by J. Keum. |
| title | On equations of fake projective planes with automorphism group of order $21$ |
| topic | Algebraic Geometry 14J29 |
| url | https://arxiv.org/abs/2109.02070 |