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Degtyarev, Alex
2023.
Conics on Kummer quartics.
Tohoku Mathematical Journal,
Vol. 75,
Issue. 3,
Published online by Cambridge University Press: 29 November 2021
We prove that the maximal number of conics in a smooth sextic $K3$ -surface $X\subset \mathbb {P}^4$ is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible.
The author was partially supported by the TÜBİTAK grant 118F413.