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arXiv · 1808.00351

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

Dino Festi
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Abstract

Let $k$ be either a number a field or a function field over $\mathbb{Q}$ 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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Dino Festi. 2018-08-01. A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree $2$. https://arxiv.org/abs/1808.00351

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