Geodesic
Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups
Documenta mathematica, Tome 12 (2007), pp. 363-397.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study low order terms of Emerton's spectral sequence for simply connected, simple groups. As a result, for real rank 1 groups, we show that Emerton's method for constructing eigenvarieties is successful in cohomological dimension 1. For real rank 2 groups, we show that a slight modification of Emerton's method allows one to construct eigenvarieties in cohomological dimension 2.
Classification : 11F33 
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     author = {Hill, Richard},
     title = {Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2007__12__a10/}
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Hill, Richard. Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups. Documenta mathematica, Tome 12 (2007), pp. 363-397. http://geodesic.mathdoc.fr/item/DOCMA_2007__12__a10/