Elliptic fibrations on K3 surfaces

Abstract

This is mainly a review of my results related to the title. We discuss, how many elliptic fibrations and elliptic fibrations with infinite automorphism group (or the Mordell-Weil group) an algebraic K3 surface over an algebraically closed field can have. This was the subject of my talk at Oberwolfach Workshop "Higher dimensional elliptic fibrations" in October 2010.

Var2: 19 pages. We added a description of K3 surfaces with finite number of non-singular rational curves, finite number of Enriques involutions, and with naturally arithmetic automorphism groups. Var3: The exposition polished. Var4: An important theorem is added at the end

Cited by in corpus (6)

• On K3 surfaces of Picard rank 14
• Counting elliptic fibrations on K3 surfaces
• Finiteness theorems for K3 surfaces over arbitrary fields
• On Néron-Severi lattices of Jacobian elliptic K3 surfaces
• On two-elementary K3 surfaces with finite automorphism group
• K3 Surfaces and Orthogonal Modular Forms