Geodesic
Combinatorics of the basic stratum of some simple Shimura varieties
Documenta mathematica, Tome 20 (2015), pp. 237-267

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We express the cohomology of the basic Newton stratum of some unitary Shimura varieties associated to division algebras in terms of automorphic representations of the group in the Shimura datum.
DOI : 10.4171/dm/490
Classification : 11F70, 11F72, 11G18
Mots-clés : Shimura varieties, arthur-Selberg trace formula, Langlands program 
Arno Kret. Combinatorics of the basic stratum of some simple Shimura varieties. Documenta mathematica, Tome 20 (2015), pp. 237-267. doi: 10.4171/dm/490
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     author = {Arno Kret},
     title = {Combinatorics of the basic stratum of some simple {Shimura} varieties},
     journal = {Documenta mathematica},
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     year = {2015},
     volume = {20},
     doi = {10.4171/dm/490},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/490/}
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