At most 64 lines on smooth quartic surfaces (characteristic 2)

Abstract

Let K be a field of characteristic 2. We give a geometric proof that there are no smooth quartic surfaces in IP^3 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 2.

16 pages; v2: minor additions and edits, reference to 1604.05836 added

References in corpus (2)

• Lines on quartic surfaces
• Lines on K3 quartic surfaces in characteristic 2

Cited by in corpus (4)

• Lines in supersingular quartics
• Lines on K3 quartic surfaces in characteristic 3
• Conics on Barth--Bauer octics
• Singularities of normal quartic surfaces III (char=2, non-supersingular)