Explicit equations of 800 conics on a Barth-Bauer quartic

2021/08/30 by Naskręcki, Bartosz
#14J28 #14N25 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2108.13402

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.

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