Counting elliptic fibrations on K3 surfaces
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math.AG
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countingellipticfibrationsarbitraryautomorphismscomplexexamplesexplicit
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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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Cited by 1 Pith paper
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On the Vinberg Family of K3 Surfaces
Coefficients of Weierstrass models from Jacobian elliptic fibrations on lattice-polarized K3 surfaces generate the graded rings of orthogonal modular forms for Picard numbers 10-17.
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