Computation of period matrices of real algebraic curves

DOI10.1007/BF02573995zbMath0805.14029OpenAlexW1966060217MaRDI QIDQ1314443

Mika Seppaelae

Publication date: 5 February 1995

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131289

zbMATH Keywords

Poincaré seriesuniformizationcompute the period matrix of a real algebraic curve

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Real algebraic sets (14P05) Special algebraic curves and curves of low genus (14H45) Computational aspects of algebraic curves (14Q05) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (7)

Hyperelliptic theta-functions and spectral methods ⋮ The Schottky Problem for Hyperelliptic Real Curves ⋮ Numerical Schottky Uniformizations: Myrberg’s Opening Process ⋮ Hyperelliptic theta-functions and spectral methods: KdV and KP solutions ⋮ Numerical Schottky uniformizations ⋮ Computing Riemann matrices of algebraic curves ⋮ Computing periods of hypersurfaces

Cites Work

• Moduli spaces for real algebraic curves and real abelian varieties
• Compactifications of moduli spaces in real algebraic geometry
• Riemann surfaces, plane algebraic curves and their period matrices
• On Poincaré series with application to \(H^ P\) spaces on bordered Riemann surfaces
• Foundations of the theory of Klein surfaces
• Moduli spaces of stable real algebraic curves
• Real algebraic curves

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