Lines on K3 quartic surfaces in characteristic 2
Algebraic Geometry
2022-03-15 v2
Abstract
We prove that a K3 quartic surface defined over a field of characteristic 2 can contain at most 68 lines. If it contains 68 lines, then it is projectively equivalent to a member of a 1-dimensional family found by Rams and Sch\"utt.
Keywords
Cite
@article{arxiv.1606.02135,
title = {Lines on K3 quartic surfaces in characteristic 2},
author = {Davide Cesare Veniani},
journal= {arXiv preprint arXiv:1606.02135},
year = {2022}
}
Comments
minor typos corrected, exposition of some lemmas improved; 32 pages, comments welcome