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On Néron-Severi lattices of Jacobian elliptic K3 surfaces
Published 4 Sep 2021 in math.AG | (2109.01929v8)
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 N\'eron-Severi lattice. As part of the classification, we compute the lattice theoretic multiplicities of all Jacobian elliptic fibrations in both cases.
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