65 citations · 420 across the 91 of their papers we have counts for
6 papers · 1 filter
Congruences for the number of rational points, Hodge type and motivic conjectures for Fano varieties
Spencer Bloch, Hélène Esnault
This is meant to be a survey article for the Cubo Journal. We discuss the existence and number of rational points over a finite field, the Hodge type over the complex numbers, and…
The additive dilogarithm
Spencer Bloch, Hélène Esnault
We define an additive version of the Bloch group of a field, together with an additive dilogarithm and an Artin-Schreier realization.
Hodge type of the exotic cohomology of complete intersections
Hélène Esnault, Daqing Wan
We improve the known Hodge type bound for the exotic cohomology of complete intersections. In the revised version, we included a simplification of our original argument due to Pier…
Varieties over a finite field with trivial Chow group of 0-cycles have a rational point
Hélène Esnault
Smooth projective varieties over a finite field with have a rational point, in particular Fano varieties. We also refer to http://link…
Characteristic classes of flat bundles and determinant of the Gauss-Manin connection
Hélène Esnault
The purpose of this note is to give a survey on recent progress on characteristic classes of flat bundles, and how they behave in a family.
Chern classes of Gauß-Manin bundles of weight 1 vanish
Hélène Esnault, Eckart Viehweg
We show that the Chern character of a variation of polarized Hodge structures of weight one with nilpotent residues at dies up to torsion in the Chow ring, except in codim…