Explicit equations of 800 conics on a Barth-Bauer quartic

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.

arXiv comment12 pages, 4 figures, 3 appendices; ancillary Magma files