Geodesic
Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups
Documenta mathematica, Tome 12 (2007), pp. 363-397
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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.
DOI : 10.4171/dm/228
Classification : 11F33 
@article{10_4171_dm_228,
     author = {Richard Hill},
     title = {Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups},
     journal = {Documenta mathematica},
     pages = {363--397},
     year = {2007},
     volume = {12},
     doi = {10.4171/dm/228},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/228/}
}
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Richard Hill. Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups. Documenta mathematica, Tome 12 (2007), pp. 363-397. doi: 10.4171/dm/228

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