Polarizations of isotypical components of Jacobians with group action

DOI10.1007/s00013-012-0400-4zbMath1244.14021OpenAlexW2033642023MaRDI QIDQ438600

Anita M. Rojas, Herbert Lange

Publication date: 31 July 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0400-4

zbMATH Keywords

Prym-Tyurin varietiescompletely decomposable Jacobiansisotypical decomposition of Jacobians

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Coverings of curves, fundamental group (14H30)

Related Items (5)

Polarizations on abelian subvarieties of principally polarized abelian varieties with dihedral group actions ⋮ A criterion for an abelian variety to be non-simple ⋮ On the cohomology of surfaces with $p_g = q = 2$ and maximal Albanese dimension ⋮ Decomposition of Jacobian varieties of curves with dihedral actions via equisymmetric stratification ⋮ On the group algebra decomposition of a Jacobian variety

Uses Software

• Magma

Cites Work

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• Prym-Tyurin varieties coming from correspondences with fixed points
• Idempotent relations and factors of Jacobians
• The Magma algebra system. I: The user language
• Adapted hyperbolic polygons and symplectic representations for group actions on Riemann surfaces
• Group actions on Jacobian varieties
• Grundlagen einer Theorie der Integralgruppen und der Integralperioden bei den Normalteilern der Modulgruppe
• Decomposing Jacobians of curves with extra automorphisms

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