Conics on Kummer quartics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2023Embargo end date: 01 Jan 2021 Turkey Publisher:Mathematical Institute, Tohoku UniversityJournal:Tohoku Mathematical Journal, volume 75 (issn: 0040-8735,

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Authors: Degtyarev, Alex;

doi: 10.2748/tmj.20220224 , 10.48550/arxiv.2108.11181

arXiv: 2108.11181

handle: 11693/115080

Conics on Kummer quartics

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Abstract

We classify the configurations of lines and conics in smooth Kummer quartics, assuming that all $16$ Kummer divisors map to conics. We show that the number of conics on such a quartic is at most $800$.

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Turkey

Related Organizations

Bilkent University
Turkey

Keywords

Conic, 𝐾3-surface, Varieties of low degree, conic, 14J28, 14N25, Mathematics - Algebraic Geometry, quartic surface, FOS: Mathematics, $K3$ surfaces and Enriques surfaces, $K3$-surface, line, Kummer surface, Quartic surface, Algebraic Geometry (math.AG)

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