Counting elliptic fibrations on K3 surfaces

Dino Festi; Davide Cesare Veniani

doi:10.2969/jmsj/88178817

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Counting elliptic fibrations on K3 surfaces

Dino Festi, Davide Cesare Veniani

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Keywords: K3 surface, elliptic fibration, transcendental lattice

JOURNAL RESTRICTED ACCESS

2023 Volume 75 Issue 4 Pages 1195-1225

DOI https://doi.org/10.2969/jmsj/88178817

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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.

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