Conics on Kummer quartics

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2028-09-25

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Conics_on_Kummer_quartics.pdf (220.55 KB)

Date

2023-09-25

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Source Title

Tohoku Mathematical Journal

Print ISSN

0040-8735

Electronic ISSN

2186-585X

Publisher

Tohoku Daigaku Suugaku Kyoshitsu,Tohoku University, Mathematical Institute

Volume

75

Issue

3

Pages

395 - 421

Language

en_US

Type

Article

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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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Keywords

𝐾3-surface, Quartic surface, Kummer surface, Conic

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https://hdl.handle.net/11693/115080

Published Version (Please cite this version)

https://dx.doi.org/10.2748/tmj.20220224

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Scholarly Publications - Mathematics