10 citations · 26 across the 12 of their papers we have counts for
12 papers
Correspondance de Simpson p-adique II : fonctorialité par image directe propre et systèmes locaux de Hodge-Tate
Ahmed Abbes, Michel Gros
Faltings initiated in 2005 a p-adic analogue of the (complex) Simpson correspondence whose construction has been taken up by various authors, according to several approaches. Follo…
Sur une -déformation locale de la théorie de Hodge non-abélienne en caractéristique positive
Michel Gros
For a prime number and a non trivial th root of 1, we present the main steps of the construction of a local -deformation of the "Simpson correspondence in characteris…
Un scindage du morphisme de Frobenius sur l'algèbre des distributions d'un groupe réductif
Michel Gros, Masaharu Kaneda
For a simply connected semisimple algebraic group over an algebraically closed field of positive characteristic we have already constructed a splitting of the Frobenius endomorphis…
Contraction par Frobenius et modules de Steinberg
Michel Gros, Masaharu Kaneda
For a reductive group G defined over an algebraically closed field of positive characteristic, we show that the Frobenius contraction functor of G-modules is right adjoint to the F…
La suite spectrale de Hodge-Tate
Ahmed Abbes, Michel Gros
The Hodge-Tate spectral sequence for a proper smooth variety over a p-adic field provides a framework for us to revisit Faltings' approach to p-adic Hodge theory and to fill in man…
Un scindage du morphisme de Frobenius quantique
Michel Gros, Masaharu Kaneda
We show that the quantum Frobenius morphism constructed by Lusztig in the setting of the quantum enveloping algebra specialized at a root of unity admits a multiplicative splitting…