Explicit equations of 800 conics on a Barth-Bauer quartic

Bartosz Naskręcki

Explicit equations of 800 conics on a Barth-Bauer quartic

Algebraic Geometry 2022-11-23 v2 Number Theory

Authors: Bartosz Naskręcki

Abstract

We present equations of $800$ conics on a Mukai's smooth quartic which is an explicit model of a K3 surface recently considered by Alex Degtyarev. The number $800$ is a current record for the number of irreducible conics on a smooth quartic in ordinary projective space.

Keywords

cubic fourfolds algebraic surfaces

Cite

@article{arxiv.2108.13402,
  title  = {Explicit equations of 800 conics on a Barth-Bauer quartic},
  author = {Bartosz Naskręcki},
  journal= {arXiv preprint arXiv:2108.13402},
  year   = {2022}
}

Comments

12 pages, 4 figures, 3 appendices; ancillary Magma files

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