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CONICS IN SEXTIC $K3$-SURFACES IN $\mathbb {P}^4$
Published online by Cambridge University Press: 29 November 2021
Abstract
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.
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- © (2021) The Authors. The publishing rights in this article are licenced to Foundation Nagoya Mathematical Journal under an exclusive license
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The author was partially supported by the TÜBİTAK grant 118F413.
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