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We explain how to use 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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Elliptic Fibrations on Vinberg’s Most Algebraic K3 Surface

  • 章节

  • 发表日期：

    2025年

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  • Simon Brandhorst,
  • Matthias Zach

摘要

We explain how to use 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.