65 citations · 420 across the 91 of their papers we have counts for
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Some fundamental groups in arithmetic geometry
Hélène Esnault
Those are the notes for the 2015 Summer Research Institute on Algebraic Geometry. We report on Deligne's finiteness theorem for -adic representations on smooth varieties defi…
Chern classes of crystals
Hélène Esnault, Atsushi Shiho
The crystalline Chern classes of the value of a locally free crystal vanish on a smooth variety defined over a perfect field. Out of this we conclude new cases of de Jong's conject…
Lefschetz theorems for tamely ramified coverings
Hélène Esnault, Lars Kindler
As is well known, the Lefschetz theorems for the étale fundamental group of SGA1 do not hold. We fill a small gap in the literature showing they do for tame coverings. Let be a…
A restriction isomorphism for cycles of relative dimension zero
Moritz Kerz, Hélène Esnault, Olivier Wittenberg
We study the restriction map to the closed fiber of a regular projective scheme over an excellent henselian discrete valuation ring, for a cohomological version of the Chow group o…
Convergent isocrystals on simply connected varieties
Hélène Esnault, Atsushi Shiho
It is conjectured by de Jong that, if is a connected smooth projective variety over an algebraically closed field of characteristic with trivial étale fundamental gro…