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pro vyhledávání: '"Abbes, Ahmed"'
Autor:
Abbes, Ahmed, Saito, Takeshi
Building on Beilinson's work, ``constructible sheaves are holonomic,'' we introduce the notion of holonomicity for \'etale sheaves, without assuming a priori constructibility. Over a perfect base field, we establish the converse of Beilinson's result
Externí odkaz:
http://arxiv.org/abs/2410.04677
Autor:
Abbes, Ahmed, Gros, Michel
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. Following the one we initiated previously, we develop in this new monograph
Externí odkaz:
http://arxiv.org/abs/2210.10580
Autor:
Abbes, Ahmed, Gros, Michel
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. Following the one we initiated previously, we present an overview of a new
Externí odkaz:
http://arxiv.org/abs/2210.10536
Autor:
Abbes, Ahmed, Gros, Michel
Publikováno v:
Ast\'erisque 448 (2024)
This book presents two important results in p-adic Hodge theory following the approach initiated by Faltings, namely (i) his main p-adic comparison theorem, and (ii) the Hodge-Tate spectral sequence. We establish for each of these results two version
Externí odkaz:
http://arxiv.org/abs/2003.04714
Autor:
Abbes, Ahmed, Gros, Michel
We give in this note an overview of a recent work leading to a generalization of the Hodge-Tate spectral sequence to morphisms. The latter takes place in Faltings topos, but its construction requires the introduction of a relative variant of this top
Externí odkaz:
http://arxiv.org/abs/2003.03790
Autor:
Abbes, Ahmed, Bouglé, Adrien
Publikováno v:
In Le Praticien en anesthésie réanimation April 2022 26(2):83-86
Autor:
Abbes, Ahmed, Gros, Michel
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 many details. The spectral sequence is obtained from the Cartan-Leray spe
Externí odkaz:
http://arxiv.org/abs/1509.03617
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