Estimation des dimensions de certaines variétés de Kisin

Xavier Caruso (1, 2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 ISCP - Interdisciplinary Scientific Center Poncelet

In this paper, we study dimensions of some varieties, that were introduced recently by Kisin in order to prove modularity of some Galois representations. In fact, we mainly consider a special case for which we obtain an estimation of the dimension we are interested in. Then, based on this result, we state a conjecture for the general case.

Mots clés: finite flat models; Deligne-Lusztig varieties; moduli spaces; group schemes

Domaines: Théorie des nombres [math.NT]

Xavier Caruso. Estimation des dimensions de certaines variétés de Kisin. Journal für die reine und angewandte Mathematik, 2017, 723 (723), pp.1-77. ⟨10.1515/crelle-2014-0066⟩. ⟨hal-00483259v2⟩