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arXiv · 2311.11766

Elliptic Fibrations on Vinberg's Most Algebraic K3 Surface

Simon Brandhorst·Matthias Zach
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Abstract

We explain how to use the computer algebra system OSCAR to find all elliptic fibrations (up to automorphism) on a given surface and compute their Weierstrass models. This is illustrated for Vinberg's most algebraic K3 surface, the unique K3 surface of Picard rank 20 and discriminant 3.

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Simon Brandhorst, Matthias Zach. 2023-11-20. Elliptic Fibrations on Vinberg's Most Algebraic K3 Surface. https://arxiv.org/abs/2311.11766

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