65 citations · 420 across the 91 of their papers we have counts for
106 papers
Rational points over C1 fields
Hélène Esnault
This is a small note on Manin's 1966 article on rational surfaces over perfect fields, the conjecture he formulates there, and later developments. This text is by no means exhausti…
Some Arithmetic Properties of Complex Local Systems
Hélène Esnault
This small text was written for the AMS Notices. It is a survey of integrality properties of complex local systems, where I tried to single out one example which is not entirely ex…
Lectures on Local Systems in Algebraic-Arithmetic Geometry
Hélène Esnault
Those notes rest on the Samuel Eilenberg Lectures I gave at Columbia University, NY, in the fall 2022. I thank all the mathematicians who participated in their elaboration, directl…
Integrality of the Betti moduli space
Johan de Jong, Hélène Esnault
If in a given rank , there is an irreducible complex local system with torsion determinant and quasi-unipotent monodromies at infinity on a smooth quasi-projective variety, then…
Rigid non-cohomologically rigid local systems
Johan de Jong, Hélène Esnault, Michael Groechenig
For any even natural number , we construct an irreducible rigid non-cohomologically rigid complex local system of rank on a smooth projective variety depending on .…
Divisibility of Frobenius eigenvalues on -adic cohomology
Hélène Esnault, Daqing Wan
v2: For a projective variety defined over a finite field with elements, it is shown that as algebraic integers, the eigenvalues of the geometric Frobenius acting on -adic…