Elliptic Fibrations on Vinberg's Most Algebraic K3 Surface
Algebraic Geometry
2023-11-21 v1
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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Cite
@article{arxiv.2311.11766,
title = {Elliptic Fibrations on Vinberg's Most Algebraic K3 Surface},
author = {Simon Brandhorst and Matthias Zach},
journal= {arXiv preprint arXiv:2311.11766},
year = {2023}
}
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11 pages