6533b834fe1ef96bd129e08a

RESEARCH PRODUCT

Lines on K3 quartic surfaces in characteristic 2

Davide Cesare VenianiDavide Cesare Veniani

subject

Field (physics)General Mathematics010102 general mathematicsMathematical analysis01 natural sciencesMathematics - Algebraic GeometryQuartic function0103 physical sciencesFOS: Mathematics010307 mathematical physics0101 mathematicsQuartic surface14J28 14N10 14N25Algebraic Geometry (math.AG)Mathematical physicsMathematics

description

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.

yearjournalcountryeditionlanguage
2016-06-07
10.1093/qmath/haw055http://arxiv.org/abs/1606.02135