A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree 2

2018/08/01 by Festi, Dino
#11G99 #14C22 #14J28 #65G20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.00351

Abstract

Let k be either a number a field or a function field over ℚ with finitely many variables. We present a practical algorithm to compute the geometric Picard lattice of a K3 surface over k of degree 2, i.e., a double cover of the projective plane over k ramified above a smooth sextic curve. The algorithm might not terminate, but if it terminates then it returns a proven correct answer.

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