Publications at the Riemann Center
At most 64 lines on smooth quartic surfaces (characteristic 2)
Abstract
Let be a field of characteristic 2. We give a geometric proof that there are no smooth quartic surfaces S ⊂ ℙ3 k with more than 64 lines (predating work of Degtyarev which improves this bound to 60). We also exhibit a smooth quartic containing 60 lines which thus attains the record in characteristic.
Details
- Organisation(s)
-
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Jagiellonian University
- Type
- Article
- Journal
- Nagoya mathematical journal
- Volume
- 232
- Pages
- 76-95
- No. of pages
- 20
- ISSN
- 0027-7630
- Publication date
- 12.2018
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1512.01358 (Access:
Open
)
https://doi.org/10.1017/nmj.2017.21 (Access: Closed )
