On Néron-Severi lattices of Jacobian elliptic K3 surfaces

Abstract

We classify all Jacobian elliptic fibrations on K3 surfaces with finite automorphism group. We also classify all Jacobian elliptic fibrations with finite Mordell-Weil group on K3 surfaces with infinite automorphism group and 2-elementary Néron-Severi lattice. As part of the classification, we compute the lattice theoretic multiplicities of all Jacobian elliptic fibrations in both cases.

arXiv comment18 pages, 10 tables, 1 figure

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• The Satake sextic in elliptic fibrations on K3
• Kummer surfaces associated with Seiberg-Witten curves
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Cited by in corpus (2)

• On two-elementary K3 surfaces with finite automorphism group
• K3 Surfaces and Orthogonal Modular Forms