The Homology and Higher Representations of the Automorphism Group of a Riemann Surface

DOI10.2307/2000592zbMath0621.30037OpenAlexW4230404186MaRDI QIDQ3758196

S. Allen Broughton

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000592

zbMATH Keywords

Eichler trace formulaautomorphisms of closed Riemann surfaces

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (7)

On the rational cohomology of regular surfaces isogenous to a product of curves with \(\chi(\mathcal{O}_S)=2\) ⋮ On group actions on Riemann-Roch spaces of curves ⋮ On representations of finite transformation groups of algebraic curves and surfaces ⋮ Hecke algebras acting on abelian varieties ⋮ Subvarieties of Moduli Space Determined by Finite Groups Acting on Surfaces ⋮ Classifying finite group actions on surfaces of low genus ⋮ Jacobians with complex multiplication

Cites Work

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• Finite groups acting on surfaces and the genus of a group
• Matrices and cohomology
• Invariant quadratic differentials
• A transcendental view of the space of algebraic Riemann surfaces
• On Branch Loci in Teichmuller Space

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