Intermediate Jacobian and Some Arithmetic Properties of Kummer-surface-type CY 3-folds
نویسنده
چکیده
In this article, we examine the arithmetic aspect of the Kummer-surface-type CY 3-folds T̂/G, characterized by the crepant resolution of 3-torus-orbifold T/G with only isolated singularities. Up to isomorphisms, there are only two such space T̂/G with |G| = 3, 7, and both T carrying the structure of triple-product structure of a CM elliptic curve. The (Griffiths) intermediate Jacobians of these T̂/G are identified explicitly as the corresponding elliptic curve appeared in the structure of T . We further provide the Q-structure of T̂/G and verify their modularity property. 1991 MSC: 11G, 11R, 14H, 14J.
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