Conics in sextic K3-surfaces in P4

Degtyarev, Alex

doi:10.1017/nmj.2021.3

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Journal Article

Conics in sextic K3-surfaces in P⁴

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Degtyarev, Alex
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1017/nmj.2021.3
(Publisher version)

https://doi.org/10.48550/arXiv.2010.07412
(Preprint)

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Citation

Degtyarev, A. (2022). Conics in sextic K3-surfaces in P⁴. Nagoya Mathematical Journal, 246, 273-304. doi:10.1017/nmj.2021.3.

Cite as: https://hdl.handle.net/21.11116/0000-000A-571D-5

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.