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

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Showing 2007Show all

6 papers · 1 filter

math.AG2007

Algebraic differential characters of flat connections with nilpotent residues

Hélène Esnault

We construct unramified algebraic differential characters for flat connections with nilpotent residues along a strict normal crossings divisor.

math.AG2007

Hodge cohomology of invertible sheaves

Hélène Esnault, Arthur Ogus

v2: We improved a little bit according to the referee's wishes. v1: On projective smooth over a field , Pink and Roessler conjecture that the dimension of the Hodge cohomolo…

math.AG2007★ 15 cited

Tate motives and the fundamental group

Hélène Esnault, Marc Levine

Let k be a number field, and let S be a finite set of k-rational points of P^1. We relate the Deligne-Goncharov contruction of the motivic fundamental group of X:=P^1_k- S to the T…

math.NT2007

Congruence for rational points over finite fields and coniveau over local fields

Hélène Esnault, Chenyang Xu

If the -adic cohomology of a projective smooth variety, defined over a local field with finite residue field , is supported in codimension , then every model ov…

math.NT2007★ 14 cited

Packets in Grothendieck's Section Conjecture

Hélène Esnault, Phùng Hô Hai

Using the identification of sections of the Galois group of the ground field into the arithmetic fundamental group with neutral fiber functors of the category of finite connections…

math.NT2007

Coniveau over -adic fields and points over finite fields

Hélène Esnault

If the -adic cohomology of a projective smooth variety, defined over a -adic field with finite residue field , is supported in codimension , then any…