Uniformizations of modular curves

DOI10.4310/CAG.1996.v4.n2.a2zbMath0860.11022OpenAlexW2736269269MaRDI QIDQ1922782

Hershel M. Farkas, Irwin Kra, Yaacov Kopeliovich

Publication date: 24 April 1997

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.1996.v4.n2.a2

zbMATH Keywords

modular curvesuniformisationmeromorphic modular formsprincipal congruence subgroupexplicit constructions of covering mapsgeometry of the punctured Riemann surfacetheta constants with rational characteristics

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Compact Riemann surfaces and uniformization (30F10) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Coverings in algebraic geometry (14E20)

Related Items (3)

Automorphic forms for subgroups of the modular group. II: Groups containing congruence subgroups ⋮ Affine models of the modular curves \(X(p)\) and its application ⋮ Differential forms on modular curves \(\mathbb{H}/\Gamma (k)\)

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