Conics on Barth-Bauer octics
| buir.contributor.author | Degtyarev, Alex | |
| dc.citation.epage | 1524 | |
| dc.citation.issueNumber | 7 | |
| dc.citation.spage | 1507 | |
| dc.citation.volumeNumber | 67 | |
| dc.contributor.author | Degtyarev, Alex | |
| dc.date.accessioned | 2025-02-21T07:57:32Z | |
| dc.date.available | 2025-02-21T07:57:32Z | |
| dc.date.issued | 2024-04-23 | |
| dc.department | Department of Mathematics | |
| dc.description.abstract | 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 8,910 smooth conics. | |
| dc.identifier.doi | 10.1007/s11425-023-2160-3 | |
| dc.identifier.eissn | 1869-1862 | |
| dc.identifier.issn | 1674-7283 | |
| dc.identifier.uri | https://hdl.handle.net/11693/116541 | |
| dc.language.iso | English | |
| dc.publisher | Zhongguo Kexue Zazhishe / Science in China Press | |
| dc.relation.isversionof | https://dx.doi.org/10.1007/s11425-023-2160-3 | |
| dc.rights | CC BY 4.0 (Attribution 4.0 International) | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source.title | Science China Mathematics | |
| dc.subject | K3-surface | |
| dc.subject | Octic surface | |
| dc.subject | Kummer surface | |
| dc.subject | Conic | |
| dc.subject | Mukai group | |
| dc.title | Conics on Barth-Bauer octics | |
| dc.type | Article |