Lifts of projective congruence groups

DOI10.1112/jlms/jdq062zbMath1238.11051arXiv0905.4798OpenAlexW3104984399MaRDI QIDQ3074534

Ian Kiming, Matthias Schütt, Helena A. Verrill

Publication date: 9 February 2011

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4798

zbMATH Keywords

modular groupspaces of modular formslevelprojectively equivalentnoncongruence lifts

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Structure of modular groups and generalizations; arithmetic groups (11F06) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular and Shimura varieties (14G35) Modular correspondences, etc. (11F32)

Related Items

Lifts of projective congruence groups, II, On the computation of modular forms on noncongruence subgroups, Noncongruence subgroups and Maass waveforms, Some results on Hecke and extended Hecke groups, Moduli interpretations for noncongruence modular curves, Congruence testing for odd subgroups of the modular group, Mixed modular symbols and the generalized cuspidal $1$-motive, Congruence properties of induced representations and their applications

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