Representation of moduli spaces of curves and calculation of extremal polynomials

DOI10.1070/SM2003v194n04ABEH000725zbMath1066.32018OpenAlexW2002699812MaRDI QIDQ4658191

Andrei Borisovich Bogatyrev

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2003v194n04abeh000725

zbMATH Keywords

real hyperelliptic curveAbel's equationsclassical Chebyshev polynomialsAbelian differential with purely imaginary periodsminimization of the uniform normthe moduli space of the curvesuniformizing curves by special Schottky groups

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (4)

Chebyshev polynomials on a system of curves ⋮ Summation of Poincaré theta series in the Schottky model ⋮ Combinatorial analysis of the period mapping: the topology of 2D fibres ⋮ On approximate summation of Poincaré series in the Schottky model

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