Modular Subgroups, Forms, Curves and Surfaces

DOI10.4153/CMB-2002-033-1zbMath1010.20035OpenAlexW2151818595MaRDI QIDQ3147588

Abdellah Sebbar

Publication date: 4 December 2002

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2002-033-1

zbMATH Keywords

modular formsmodular groupcurveselliptic surfacescongruence subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06)

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Singular moduli of \(r\)th roots of modular functions ⋮ A moonshine dialogue in mathematical physics ⋮ A theory of theta functions to the quintic base ⋮ On cubic multisections of Eisenstein series ⋮ ${\cal N}=2$ N = 2 gauge theories: Congruence subgroups, coset graphs, and modular surfaces ⋮ Hyperbolic metric, punctured Riemann sphere, and modular functions ⋮ Modular subgroups, dessins d’enfants and elliptic K3 surfaces ⋮ Computing special \(L\)-values of certain modular forms with complex multiplication ⋮ The Kobayashi-Royden metric on punctured spheres ⋮ Torsion-free genus zero congruence subgroups of \(\text{PSL}_2(\mathbb R)\) ⋮ Algebraic hypergeometric transformations of modular origin

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