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Article Dans Une Revue Journal of the Institute of Mathematics of Jussieu Année : 2020

Multiplicity one at full congruence level

Résumé

Let F be a totally real field in which p is unramified. Let r be a modular representation of G_F on a two dimension mod p vector space satisfying the Taylor--Wiles hypotheses and tamely ramified and generic at a place v above p. Let m be the corresponding Hecke eigensystem. We describe the m-torsion in the mod p cohomology of Shimura curves with full congruence level at v as a GL_2(k_v)-representation.

Dates et versions

hal-01459826 , version 1 (07-02-2017)

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Daniel Le, Stefano Morra, Benjamin Schraen. Multiplicity one at full congruence level. Journal of the Institute of Mathematics of Jussieu, In press, ⟨10.1017/S1474748020000225⟩. ⟨hal-01459826⟩
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