Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds

Abstract

We describe the possible linear actions of a cyclic group G = Z /n on a complex torus, using the cyclotomic exact sequence for the group algebra Z [G]. The main application is devoted to a structure theorem for Bagnera-De Franchis Manifolds, but we also give an application to hypergeometric integrals.

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