Conics in sextic K3-Surface in P4

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2021-11-29

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Abstract

We prove that the maximal number of conics in a smooth sextic K3-surface X ⊂ P4 is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible.

Source Title

Nagoya Mathematical Journal

Publisher

Cambridge University Press

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Published Version (Please cite this version)

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English