Counting elliptic fibrations on K3 surfaces

Abstract

We solve the problem of counting jacobian elliptic fibrations on an arbitrary complex projective K3 surface up to automorphisms. We then illustrate our method with several explicit examples.

More examples added. 27 pages, 7 tables

References in corpus (1)

• Enriques involutions on pencils of K3 surfaces

Cited by in corpus (3)

• Enriques involutions on pencils of K3 surfaces
• Hensel lifting algorithms for quadratic forms
• On two-elementary K3 surfaces with finite automorphism group