Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds. (arXiv:1902.01507v1 [math.AG])

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. 查看全文>>