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20052019
most citedThéorie de la réduction pour les groupes p-divisibles

7 citations · 10 across the 6 of their papers we have counts for

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math.NT2019★ 7 cited

Théorie de la réduction pour les groupes p-divisibles

Laurent Fargues

Starting from our work on Harder-Narasimhan filtrations of finite flat group schemes over a -adic field, we developp a theory of Harder-Narasimhan filtrations for -divisible…

math.NT2006

Comparaison de la cohomologie des tours de Lubin-Tate et de Drinfeld et correspondance de Jacquet-Langlands geometrique

Laurent Fargues

This article is the last one about the isomorphism between Lubin-Tate and Drinfeld towers. We prove the existence of an isomorphism between the compactly supported etale cohomology…

math.NT2006

L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld : demonstration du resultat principal

Laurent Fargues

This is the fourth article about the isomorphism between Lubin-Tate and Drinfeld towers. We prove the final result concerning the isomorphism that is to say the existence of an equ…

math.NT2006

Application de Hodge-Tate duale d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe lineaire et filtrations de ramification

Laurent Fargues

One of the goals of this article is to describe the isomorphism between Lubin-Tate and Drinfeld towers at the level of their skeletons after taking quotient by $\GL_n (Ø_F)\times Ø…

math.NT2006

L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld au niveau des points

Laurent Fargues

In this article we construct the isomorphism between Lubin-Tate and Drinfeld towers at the level of points. The points we consider are the one of the theory of analytic spaces in t…

math.NT2006★ 3 cited

L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld : Decomposition cellulaire de la tour de Lubin-Tate

Laurent Fargues

This article is the first one of a series aiming to construct an isomorphism between the p-adic Lubin-Tate and Drinfeld towers, describe this isomorphism and give applications. We…