On the faithfulness of parabolic cohomology as a Hecke module over a finite field

DOI10.1515/CRELLE.2007.035zbMath1126.11028arXivmath/0511115OpenAlexW1994402433MaRDI QIDQ5421660

Gabor Wiese

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511115

zbMATH Keywords

Hecke algebraparabolic cohomologyKatz modular forms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Hecke-Petersson operators, differential operators (one variable) (11F25) Cohomology of arithmetic groups (11F75)

Related Items (4)

Computational Arithmetic of Modular Forms ⋮ On the Integral Cohomology of Bianchi Groups ⋮ Weight reduction for mod \(\ell \) Bianchi modular forms ⋮ On certain finiteness questions in the arithmetic of modular forms

Cites Work

• Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Crystalline cohomology and \(GL(2,\mathbb{Q})\)
• COMPARISON OF INTEGRAL STRUCTURES ON SPACES OF MODULAR FORMS OF WEIGHT TWO, AND COMPUTATION OF SPACES OF FORMS MOD 2 OF WEIGHT ONE. WITH APPENDICES BY JEAN-FRANÇOIS MESTRE AND GABOR WIESE

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