Finite degree holomorphic covers of compact Riemann surfaces

DOI10.1007/s10114-005-0824-xzbMath1105.14035OpenAlexW2080356911WikidataQ110022012 ScholiaQ110022012MaRDI QIDQ856823

Vesa Ruuska, Jouni Parkkonen

Publication date: 13 December 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0824-x

zbMATH Keywords

quasiconformal mapscovering mapsarithmetic algebraic curves

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Families, moduli of curves (analytic) (14H15)

Cites Work

• Triangulations presque équilatérales des surfaces. (Almost equilateral triangulations of surfaces)
• Riemann surfaces with shortest geodesic of maximal length
• Systoles on Riemann surfaces
• Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• Finite dimensional Teichmüller spaces and generalizations
• Geometry of Riemann surfaces based on closed geodesics
• Weil-Petersson geometry and determinant bundles on inductive limits of moduli spaces
• Another proof of the three points theorem
• Belyi Functions, Hypermaps and Galois Groups
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