Cyclic symmetry on complex tori and Bagnera-De Franchis manifolds

DOI10.1007/978-3-030-51795-3_3zbMATH Open1456.32007arXiv1902.01507OpenAlexW3171238834MaRDI QIDQ2658263

Fabrizio Catanese

Publication date: 19 March 2021

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

Full work available at URL: https://arxiv.org/abs/1902.01507

zbMATH Keywords

group algebrafundamental groupsfactorial ringshyperelliptic manifoldsHodge structurescomplex toricyclic coveringsresultants of cyclotomic polynomialscyclotomic ringsBagnera-De Franchis manifolds

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Congruences; primitive roots; residue systems (11A07) Structure, classification theorems for modules and ideals in commutative rings (13C05) Cyclotomic extensions (11R18) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17) Classification theorems for complex manifolds (32Q57) Abelian varieties and schemes (14K99) Families, fibrations in algebraic geometry (14D99)

Recommendations

• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Symmetry of a symplectic toric manifold 👍 👎
• Symmetry and local conjugacy on complex manifolds 👍 👎
• Symmetries of real cyclic \(p\)-gonal Riemann surfaces 👍 👎
• Torus symmetry of compact self-dual manifolds 👍 👎
• Toric Actions onb-Symplectic Manifolds 👍 👎
• On complex and symplectic toric stacks 👍 👎
• Symmetries of holomorphic geometric structures on tori 👍 👎

This page was built for publication: Cyclic symmetry on complex tori and Bagnera-De Franchis manifolds

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2658263)