Lines in supersingular quartics
Algebraic Geometry
2024-03-05 v3
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.
Cite
@article{arxiv.1604.05836,
title = {Lines in supersingular quartics},
author = {Alex Degtyarev},
journal= {arXiv preprint arXiv:1604.05836},
year = {2024}
}
Comments
Final version accepted for publication. Theorem 1.1 had to be stated in a weaker version