On a conjecture of Kottwitz and Rapoport
[Une conjecture de Kottwitz et Rapoport]
Gashi, Qëndrim R.
Annales scientifiques de l'École Normale Supérieure, Tome 43 (2010), p. 1017-1038 / Harvested from Numdam
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On démontre une conjecture de Kottwitz et Rapoport sur une réciproque à l'inégalité de Mazur pour tout groupe (connexe) réductif, déployé ou quasi-déployé non-ramifié. Nos résultats sont liés à la non-vacuité de certaines variétés de Deligne-Lusztig affines.

We prove a conjecture of Kottwitz and Rapoport which implies a converse to Mazur's Inequality for all (connected) split and quasi-split unramified reductive groups. Our results are related to the non-emptiness of certain affine Deligne-Lusztig varieties.

Publié le : 2010-01-01
DOI : https://doi.org/10.24033/asens.2138
Classification:  14L15,  14M15,  20G25
Mots clés: polygone de Newton, isocristal, variétés de Deligne-Lusztig affines 
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     author = {Gashi, Q\"endrim R.},
     title = {On a conjecture of Kottwitz and Rapoport},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {43},
     year = {2010},
     pages = {1017-1038},
     doi = {10.24033/asens.2138},
     mrnumber = {2778454},
     zbl = {1225.14037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_2010_4_43_6_1017_0}
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Gashi, Qëndrim R. On a conjecture of Kottwitz and Rapoport. Annales scientifiques de l'École Normale Supérieure, Tome 43 (2010) pp. 1017-1038. doi : 10.24033/asens.2138. http://gdmltest.u-ga.fr/item/ASENS_2010_4_43_6_1017_0/

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