Conics in Kummer quartics

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 $800$.

References in corpus (3)

• K3 surfaces with maximal finite automorphism groups containing $M\_20$
• 800 conics in a smooth quartic surface
• Conics in sextic $K3$-surfaces in ${\mathbb{P}}^4$