arXiv:2311.11766 Abstract | arXiv Analytics

arXiv:2311.11766 [math.AG]Abstract References Reviews Resources

Elliptic Fibrations on Vinberg's Most Algebraic K3 Surface

Published 2023-11-20Version 1

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.

Comments: 11 pages

Categories: math.AG

Subjects: 14-04, 14Q10, 14J27, 14J28

Keywords: algebraic k3 surface, elliptic fibrations, computer algebra system oscar, unique k3 surface, picard rank

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