Holomorphic families of compact Riemann surfaces with automorphisms

zbMath0504.32018MaRDI QIDQ1835795

Ignacio Guerrero

Publication date: 1982

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed pointsholomorphic family of Riemann surfacesconformal automorphismsq-differentialscharacters of representations of automorphismsrotation constantssubgroup of Teichmueller modular group

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Complex Lie groups, group actions on complex spaces (32M05) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Differentials on Riemann surfaces (30F30)

Related Items (7)

Some remarks on Teichmüller spaces and modular groups ⋮ On prime Galois coverings of the Riemann sphere ⋮ Nonequivalent families of group actions on Riemann surfaces ⋮ Automorphism groups of compact Riemann surfaces of genus five ⋮ Subvarieties of Moduli Space Determined by Finite Groups Acting on Surfaces ⋮ Unnamed Item ⋮ On an algebraization of the Riemann-Hurwitz relation

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