Conics on Kummer quartics

Alex Degtyarev

doi:10.2748/tmj.20220224

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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Alex Degtyarev. "Conics on Kummer quartics." Tohoku Math. J. (2) 75 (3) 395 - 421, 2023. https://doi.org/10.2748/tmj.20220224

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Published: 2023

First available in Project Euclid: 25 September 2023

MathSciNet: MR4646369

Digital Object Identifier: 10.2748/tmj.20220224

Subjects:

Primary: 14J28

Secondary: 14N25

Keywords: $K3$-surface , conic , Kummer surface , Quartic surface

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