33 citations · 55 across the 6 of their papers we have counts for
6 papers
Twisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence
Ahmed Abbes, Michel Gros, Takeshi Tsuji
The classical Simpson correspondence describes complex linear representations of the fundamental group of a smooth complex projective variety in terms of linear algebra objects, na…
Holonomic étale sheaves are constructible
Ahmed Abbes, Takeshi Saito
Building on Beilinson's work, ``constructible sheaves are holonomic,'' we introduce the notion of holonomicity for étale sheaves, without assuming a priori constructibility. Over a…
Ramification and cleanliness
Ahmed Abbes, Takeshi Saito
This article is devoted to studying the ramification of Galois torsors and of -adic sheaves in characteristic (with ). Let be a perfect field of charact…
Local Fourier transform and epsilon factors
Ahmed Abbes, Takeshi Saito
Laumon introduced the local Fourier transform for -adic Galois representations of local fields, of equal characteristic different from , as a powerful tool to study…
The characteristic class and ramification of an l-adic etale sheaf
Ahmed Abbes, Takeshi Saito
We introduce the characteristic class of an l-adic etale sheaf using a cohomological pairing due to Verdier (SGA5). As a consequence of the Lefschetz-Verdier trace formula, its tra…
Ramification of local fields with imperfect residue fields
Ahmed Abbes, Takeshi Saito
Classically the ramification filtration of the Galois group of a complete discrete valuation field is defined in the case where the residue field is perfect. In this paper, we defi…