H. Esnault

activity

19962023

most citedVarieties over a finite field with trivial Chow group of 0-cycles have a rational point

65 citations · 420 across the 91 of their papers we have counts for

collaborators

Showing 2022 · math.AGShow all

3 papers · 2 filters

math.AG2022

Integrality of the Betti moduli space

Johan de Jong, Hélène Esnault

If in a given rank $r$ , there is an irreducible complex local system with torsion determinant and quasi-unipotent monodromies at infinity on a smooth quasi-projective variety, then…

math.AG2022

Rigid non-cohomologically rigid local systems

Johan de Jong, Hélène Esnault, Michael Groechenig

For any even natural number $r \geq 2$ , we construct an irreducible rigid non-cohomologically rigid complex local system of rank $r$ on a smooth projective variety depending on $r$ .…

math.AG2022

Divisibility of Frobenius eigenvalues on $ℓ$ -adic cohomology

Hélène Esnault, Daqing Wan

v2: For a projective variety defined over a finite field with $q$ elements, it is shown that as algebraic integers, the eigenvalues of the geometric Frobenius acting on $ℓ$ -adic…

Integrality of the Betti moduli space

Rigid non-cohomologically rigid local systems

Divisibility of Frobenius eigenvalues on ℓ-adic cohomology

Divisibility of Frobenius eigenvalues on $ℓ$ -adic cohomology