Riemann surfaces of genus \(1+q^2\) with \(3q^2\) automorphisms

DOI10.1016/j.jalgebra.2021.09.001zbMath1479.30026arXiv1911.04310OpenAlexW3196864269MaRDI QIDQ2236079

Angel Carocca, Sebastián Reyes-Carocca

Publication date: 22 October 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04310

zbMATH Keywords

Riemann surfacesgroup actionsJacobian varieties

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Jacobians, Prym varieties (14H40) Automorphisms of curves (14H37)

Related Items (2)

On large prime actions on Riemann surfaces ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the group algebra decomposition of a Jacobian variety
• On Riemann surfaces of genus \(g\) with \(4g\) automorphisms
• Classifying finite group actions on surfaces of low genus
• Jacobians with group actions and rational idempotents
• The genera, reflexibility and simplicity of regular maps
• The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
• Infinite families of surface symmetries
• One-dimensional families of Riemann surfaces of genus g with \(4\mathrm {g}+4\) automorphims
• On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms
• On families of Riemann surfaces with automorphisms
• Orientably-regular maps of Euler characteristic \(- 2p^2\)
• On Riemann surfaces of genus \(g\) with \(4g-4\) automorphisms
• The group algebra decomposition of Fermat curves of prime degree
• A note on large automorphism groups of compact Riemann surfaces
• On Jacobians with group action and coverings
• Étale double covers of cyclic $p$-gonal covers
• Decomposition of Jacobian varieties of curves with dihedral actions via equisymmetric stratification
• Group actions on Jacobian varieties
• The Prym variety for a cyclic unramified cover of a hyperelliptic Riemann surface.
• A note on Wiman and Accola-Maclachlan surfaces
• Completely Decomposable Jacobian Varieties in New Genera
• Abelian varieties with group action
• Prym varieties of pairs of coverings
• Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles
• Groups of automorphisms of Riemann surfaces and maps of genus p + 1 where p is prime
• A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties
• Quasiplatonic curves with symmetry group Z22⋊Zm are definable over Q
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• A Bound for the Number of Automorphisms of a Compact Riemann Surface
• On the Number of Automorphisms of a Closed Riemann Surface
• The Classification of Non-Euclidean Plane Crystallographic Groups
• On Branch Loci in Teichmuller Space
• Finitely Maximal Fuchsian Groups
• AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME

This page was built for publication: Riemann surfaces of genus \(1+q^2\) with \(3q^2\) automorphisms