Conics on Barth--Bauer octics
| Autor: | Degtyarev, Alex |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Science China Mathematics, Vol. 67 (July 2024) No. 7: 1507--1524 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s11425-023-2160-3 |
| Popis: | We analyze the configurations of conics and lines on a special class of Kummer octic surfaces. In particular, we bound the number of conics by $176$ and show that there is a unique surface with $176$ conics, all irreducible: it admits a faithful action of one of the Mukai groups. Therefore, we also discuss conics and lines on Mukai surfaces: we discover a double plane (ramified at a smooth sextic curve) that contains $8910$ smooth conics. Comment: Version accepted for publication in SCIENCE CHINA Mathematics |
| Databáze: | arXiv |
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