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September 2011 About an analogue of Ihara's lemma for Shimura curves
Miriam Ciavarella, Lea Terracini
Funct. Approx. Comment. Math. 45(1): 23-41 (September 2011). DOI: 10.7169/facm/1317045229

Abstract

The object of this work is to present the status of art of an open problem: to provide an analogue for the cohomology of Shimura curves of the Ihara's lemma [Ihara73] which holds for modular curves. We will formulate our conjecture and locate it in the more general setting of the congruence subgroup problem. We will exploit the relationship between cohomology of Shimura curves and certain spaces of modular forms to establish some consequences of the conjecture about congruence modules of modular forms and about the problem of raising the level.

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Miriam Ciavarella. Lea Terracini. "About an analogue of Ihara's lemma for Shimura curves." Funct. Approx. Comment. Math. 45 (1) 23 - 41, September 2011. https://doi.org/10.7169/facm/1317045229

Information

Published: September 2011
First available in Project Euclid: 26 September 2011

zbMATH: 1314.11044
MathSciNet: MR2865410
Digital Object Identifier: 10.7169/facm/1317045229

Subjects:
Primary: 11F80
Secondary: 11F33, 11G18, 20G30

Rights: Copyright © 2011 Adam Mickiewicz University

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Vol.45 • No. 1 • September 2011
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