Lines on K3 quartic surfaces in characteristic 2

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 Schütt.

minor typos corrected, exposition of some lemmas improved; 32 pages, comments welcome

References in corpus (1)

• Lines in supersingular quartics

Cited by in corpus (3)

• At most 64 lines on smooth quartic surfaces (characteristic 2)
• Lines on K3 quartic surfaces in characteristic 3
• Lines on K3-quartics via triangular sets