An atlas of K3 surfaces with finite automorphism group

Abstract

We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\ge 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space. We study moreover the configurations of their finite set of $(-2)$-curves.

95 pages, 80 figures, 1 Table

References in corpus (2)

• Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2
• 15-nodal quartic surfaces. Part II: The automorphism group

Cited by in corpus (1)

• Constructions of Kummer structures on generalized Kummer surfaces