Tohoku Mathematical Journal
2023
September
SECOND SERIES VOL. 75, NO. 3

Tohoku Math. J.
75 (2023), 395-421

Title CONICS IN KUMMER QUARTICS

Author Alex Degtyarev

(Received August 25, 2021, revised February 21, 2022)
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.

Mathematics Subject Classification. Primary 14J28; Secondary 14N25.
Key words and phrases. $K3$-surface, quartic surface, Kummer surface, conic.

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