Geodesics, periods, and equations of real hyperelliptic curves

DOI10.1215/S0012-7094-01-10822-3zbMath1019.30042OpenAlexW1967327733MaRDI QIDQ1847839

Robert Silhol, Peter Buser

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-01-10822-3

zbMATH Keywords

hyperelliptic curvesuniformizationreal curves

Mathematics Subject Classification ID

Real algebraic sets (14P05) Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Period matrices, variation of Hodge structure; degenerations (32G20)

Related Items

On the inverse uniformization problem: real Schottky uniformizations, Uniformizing Real Hyperelliptic M-Curves Using the Schottky–Klein Prime Function, Numerical Schottky Uniformizations: Myrberg’s Opening Process, Extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of genus two Riemann surfaces, Hyperbolic octagons and Teichmüller space in genus 2, Symmetry types of cyclic covers of the sphere, Numerical Schottky uniformizations, Maximal real Schottky groups, Some remarks on the uniformizing function in genus 2

Cites Work

• Moduli spaces for real algebraic curves and real abelian varieties
• Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
• Real algebraic curves
• Geometry and spectra of compact Riemann surfaces
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