Geodesic
Eigenvarieties for reductive groups
Eric Urban1
1 Department of Mathematics<br/> Columbia University<br/>2990 Broadway<br/> New York, NY 10027<br/> <br/> Institut de Mathématique de Jussieu<br/> Case 247 - 4 <br/>place Jussieu Cedex<br/> 75252 Paris Cedex<br/> France
Annals of mathematics, Tome 174 (2011) no. 3, pp. 1685-1784.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We develop the theory of overconvergent cohomology introduced by G. Stevens, and we use it to give a construction of eigenvarieties associated to any reductive group $G$ over $\mathbb{Q}$ such that $G(\mathbb{R})$ has discrete series. We prove that the so-called eigenvarieties are equidimensional and generically flat over the weight space.
DOI : 10.4007/annals.2011.174.3.7

Eric Urban 1

1 Department of Mathematics<br/> Columbia University<br/>2990 Broadway<br/> New York, NY 10027<br/> <br/> Institut de Mathématique de Jussieu<br/> Case 247 - 4 <br/>place Jussieu Cedex<br/> 75252 Paris Cedex<br/> France 
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     title = {Eigenvarieties for reductive groups},
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     pages = {1685--1784},
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Eric Urban. Eigenvarieties for reductive groups. Annals of mathematics, Tome 174 (2011) no. 3, pp. 1685-1784. doi : 10.4007/annals.2011.174.3.7. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.3.7/

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