Search results for "Quartic surface"

showing 2 items of 2 documents

Lines on K3 quartic surfaces in characteristic 2

2016

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.

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
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Symmetries and equations of smooth quartic surfaces with many lines

2017

We provide explicit equations of some smooth complex quartic surfaces with many lines, including all 10 quartics with more than 52 lines. We study the relation between linear automorphisms and some configurations of lines such as twin lines and special lines. We answer a question by Oguiso on a determinantal presentation of the Fermat quartic surface.

Fermat's Last TheoremPure mathematicsGeneral Mathematics010102 general mathematics14J28 14N25Automorphism01 natural sciencesK3 surfaceMathematics - Algebraic GeometryMathematics::Algebraic GeometryQuartic functionLine (geometry)Homogeneous spaceFOS: Mathematics0101 mathematicsQuartic surfaceAlgebraic Geometry (math.AG)MathematicsRevista Matemática Iberoamericana
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