Counting elliptic fibrations on K3 surfaces

Dino FESTI; Davide Cesare VENIANI

doi:10.2969/jmsj/88178817

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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Dino FESTI. Davide Cesare VENIANI. "Counting elliptic fibrations on K3 surfaces." J. Math. Soc. Japan 75 (4) 1195 - 1225, October, 2023. https://doi.org/10.2969/jmsj/88178817

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Received: 11 October 2021; Revised: 23 March 2022; Published: October, 2023

First available in Project Euclid: 30 September 2022

Digital Object Identifier: 10.2969/jmsj/88178817

Subjects:

Primary: 14J28

Secondary: 14J27 , 14J50

Keywords: elliptic fibration , K3 surface , transcendental lattice

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