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Counting elliptic fibrations on K3 surfaces

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arxiv 2102.09411 v2 pith:VQUJPPLV submitted 2021-02-18 math.AG

classification math.AG
keywords 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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