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

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10 papers · 1 filter

math.NT2021★ 3 cited

Canonical Heights on Shimura Varieties and the André-Oort Conjecture

Jonathan Pila, Ananth N. Shankar, Jacob Tsimerman +2

The main purpose of this work is to prove the André-Oort conjecture in full generality.

math.NT2007

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

Hélène Esnault, Chenyang Xu

If the $ℓ$ -adic cohomology of a projective smooth variety, defined over a local field $K$ with finite residue field $k$ , is supported in codimension $\geq 1$ , 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 $p$ -adic fields and points over finite fields

Hélène Esnault

If the $ℓ$ -adic cohomology of a projective smooth variety, defined over a $p$ -adic field $K$ with finite residue field $k$ , is supported in codimension $\geq 1$ , then any…

math.NT2006

Rational Singularities and Rational Points

Manuel Blickle, Hélène Esnault

If $X$ is a projective, geometrically irreducible variety defined over a finite field $\F_q$, such that it is smooth and its Chow group of 0-cycles fulfills base change, i.e. $CH_0…

math.NT2005

A remark on higher congruences for the number of rational points of varieties defined over a finite field