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Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds

Algebraic Geometry 2019-02-06 v1 Complex Variables Rings and Algebras

Abstract

We describe the possible linear actions of a cyclic group G=Z/nG = \mathbb{Z} /n on a complex torus, using the cyclotomic exact sequence for the group algebra Z[G]\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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Cite

@article{arxiv.1902.01507,
  title  = {Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds},
  author = {Fabrizio Catanese},
  journal= {arXiv preprint arXiv:1902.01507},
  year   = {2019}
}

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23 pages