The Neron-Tate pairing and elliptic K3 surfaces
classification
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keywords
ellipticneron-tatepairingstructuresurfaceamplecasecone
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In this paper, we demonstrate a connection between the group structure and Neron-Tate pairing on elliptic curves in an elliptic fibration with section on a K3 surface, and the structure of the ample cone for the K3 surface. Part of the result can be thought of as a case of the specialization theorem.
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