On Jacobians with group action and coverings

DOI10.1007/s00209-019-02263-3zbMath1444.14060arXiv1711.07552OpenAlexW2771006440WikidataQ128320558 ScholiaQ128320558MaRDI QIDQ2287982

Rubí E. Rodríguez, Sebastián Reyes-Carocca

Publication date: 16 January 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07552

zbMATH Keywords

Riemann surfacesgroup actionsJacobian varieties

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Jacobians, Prym varieties (14H40) Automorphisms of curves (14H37)

Related Items (8)

On large prime actions on Riemann surfaces ⋮ On Riemann surfaces of genus \(g\) with \(4g-4\) automorphisms ⋮ Abelian varieties and Riemann surfaces with generalized quaternion group action ⋮ On \(pq\)-fold regular covers of the projective line ⋮ Riemann surfaces of genus \(1+q^2\) with \(3q^2\) automorphisms ⋮ On families of Riemann surfaces with automorphisms ⋮ Groups of automorphisms of Riemann surfaces and maps of genus p + 1 where p is prime ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

Uses Software

• decompose-jacobians

Cites Work

• On the group algebra decomposition of a Jacobian variety
• A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree
• Classifying finite group actions on surfaces of low genus
• Jacobians with group actions and rational idempotents
• Idempotent relations and factors of Jacobians
• On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms
• The group algebra decomposition of Fermat curves of prime degree
• Group actions on Jacobian varieties
• JACOBIAN VARIETY OF GENERALIZED FERMAT CURVES
• The Prym variety for a cyclic unramified cover of a hyperelliptic Riemann surface.
• Completely Decomposable Jacobian Varieties in New Genera
• Abelian varieties with group action
• A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties
• Quasiplatonic curves with symmetry group Z22⋊Zm are definable over Q
• Decomposing Jacobians of curves with extra automorphisms
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