Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds
classification
🧮 math.AG
math.CVmath.RA
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applicationbagnera-decomplexcyclicfranchisgroupmanifoldsmathbb
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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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