Abelian varieties and Riemann surfaces with generalized quaternion group action

DOI10.1016/j.jpaa.2023.107398zbMath1522.14043arXiv2108.01148MaRDI QIDQ6103328

Sebastián Reyes-Carocca, Angel Carocca, Rubí E. Rodríguez

Publication date: 26 June 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.01148

zbMATH Keywords

Riemann surfacesabelian varietiesgroup actionsautomorphisms

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Jacobians, Prym varieties (14H40) Coverings of curves, fundamental group (14H30) Isogeny (14K02) Automorphisms of curves (14H37) Classification theory of Riemann surfaces (30F20)

Cites Work

• On Riemann surfaces of genus \(g\) with \(4g\) automorphisms
• On the orbifold structure of the moduli space of Riemann surfaces of genera four and five
• Classifying finite group actions on surfaces of low genus
• Jacobians with group actions and rational idempotents
• Automorphism groups of hyperelliptic Riemann surfaces
• The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
• On the Prym map of cyclic coverings
• On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms
• Hecke algebras acting on abelian varieties
• Adapted hyperbolic polygons and symplectic representations for group actions on Riemann surfaces
• On Jacobians with group action and coverings
• Regular dessins d'enfants with dicyclic group of automorphisms
• Decomposition of Jacobian varieties of curves with dihedral actions via equisymmetric stratification
• Group actions on Jacobian varieties
• GENUS ZERO ACTIONS ON RIEMANN SURFACES
• Bounds on the orders of groups of automorphisms of a pseudo‐real surface of given genus
• Shimura Varieties in the Torelli Locus via Galois Coverings
• The Prym variety for a cyclic unramified cover of a hyperelliptic Riemann surface.
• On compact Riemann surfaces with dihedral groups of automorphisms
• Abelian varieties with group action
• Prym varieties of pairs of coverings
• Superelliptic curves with many automorphisms and CM Jacobians
• Groups of automorphisms of Riemann surfaces and maps of genus p + 1 where p is prime
• Maximal order group actions on Riemann surfaces
• On regular dessins d’enfants with 4g automorphisms and a curve of Wiman
• Decomposing Jacobians of curves with extra automorphisms
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• Abelian Groups of Automorphisms of Compact Riemann Surfaces
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• On Branch Loci in Teichmuller Space
• Finitely Maximal Fuchsian Groups
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