Lines in supersingular quartics
| buir.contributor.author | Degtyarev, Alex | |
| buir.contributor.orcid | Degtyarev, Alex|0000-0001-6586-4094 | |
| dc.citation.epage | 47 | en_US |
| dc.citation.spage | 1 | en_US |
| dc.contributor.author | Degtyarev, Alex | |
| dc.date.accessioned | 2022-04-28T06:56:21Z | |
| dc.date.available | 2022-04-28T06:56:21Z | |
| dc.date.issued | 2021-10-19 | |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | 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. | en_US |
| dc.description.provenance | Submitted by Cem Çağatay Akgün (cem.akgun@bilkent.edu.tr) on 2022-04-28T06:56:21Z No. of bitstreams: 1 Lines_in_supersingular_quartics.pdf: 319379 bytes, checksum: 41f13ba922a76eda757853425e48d292 (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2022-04-28T06:56:21Z (GMT). No. of bitstreams: 1 Lines_in_supersingular_quartics.pdf: 319379 bytes, checksum: 41f13ba922a76eda757853425e48d292 (MD5) Previous issue date: 2021-10-19 | en |
| dc.identifier.doi | 10.2969/jmsj/81998199 | en_US |
| dc.identifier.eissn | 1881-1167 | |
| dc.identifier.issn | 0025-5645 | |
| dc.identifier.uri | http://hdl.handle.net/11693/78170 | |
| dc.language.iso | English | en_US |
| dc.publisher | Nihon Sugakkai,Mathematical Society of Japan | en_US |
| dc.relation.isversionof | https://dx.doi.org/10.2969/jmsj/81998199 | en_US |
| dc.source.title | Mathematical Society of Japan. Journal | en_US |
| dc.subject | K3-surface | en_US |
| dc.subject | Discriminant form | en_US |
| dc.subject | Elliptic pencil | en_US |
| dc.subject | İntegral lattice | en_US |
| dc.subject | Quartic | en_US |
| dc.subject | Supersingular surface | en_US |
| dc.title | Lines in supersingular quartics | en_US |
| dc.type | Article | en_US |