On Ihara’s lemma for Hilbert modular varieties

DOI10.1112/S0010437X09004205zbMath1256.11035arXivmath/0503134OpenAlexW2141184765WikidataQ124877234 ScholiaQ124877234MaRDI QIDQ3642509

Mladen Dimitrov

Publication date: 5 November 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503134

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Galois cohomology (11R34)

Related Items

Torsion homology growth in arithmetic groups, Unobstructed Hilbert modular deformation problems, \(p\)-adic and analytic properties of period integrals and values of \(L\)-functions, \(p\)-adic \(L\)-functions of Hilbert cusp forms and the trivial zero conjecture, EULER SYSTEMS FOR HILBERT MODULAR SURFACES, On the étale cohomology of Hilbert modular varieties with torsion coefficients, On the quantitative variation of congruence ideals and integral periods of modular forms, Proof of de Smit’s conjecture: a freeness criterion, Galois representations modulo p and cohomology of Hilbert modular varieties, Derivative at \(s = 1\) of the \(p\)-adic \(L\)-function of the symmetric square of a Hilbert modular form, The asymptotic growth of torsion homology for arithmetic groups, UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD  OF WEIGHT 1, On Euler systems for adjoint Hilbert modular Galois representations

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