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arXiv · 1902.01507

Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds

Fabrizio Catanese
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Abstract

We describe the possible linear actions of a cyclic group $G = \mathbb{Z} /n$ on a complex torus, using the cyclotomic exact sequence for the group algebra $\mathbb{Z} [G]$. 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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Fabrizio Catanese. 2019-02-05. Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds. https://arxiv.org/abs/1902.01507

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