35 citations · 46 across the 5 of their papers we have counts for
8 papers
Very special algebraic groups
Michel Brion, Emmanuel Peyre
We say that a smooth algebraic group over a field is very special if for any field extension , every -homogeneous -variety has a -rational point. It is know…
Beyond heights: slopes and distribution of rational points
Emmanuel Peyre
The distribution of rational points of bounded height on algebraic varieties is far from uniform. Indeed the points tend to accumulate on thin subsets which are images of non-trivi…
Liberté et accumulation
Emmanuel Peyre
The principle of Batyrev and Manin and its variants gives a precise conjectural interpretation for the dominant term for the number of points of bounded height on an algebraic vari…
On Manin's conjecture for a family of Châtelet surfaces
R. de la Bretèche, T. D. Browning, E. Peyre
The Manin conjecture is established for Châtelet surfaces over Q arising as minimal proper smooth models of the surface Y^2+Z^2=f(X) where f is a totally reducible polynomial of de…
Counting points of homogeneous varieties over finite fields
Michel Brion, Emmanuel Peyre
Let be an algebraic variety over a finite field $\bF_q$, homogeneous under a linear algebraic group. We show that the number of rational points of over $\bF_{q^n}$ is a per…
Unramified cohomology of degree 3 and Noether's problem
Emmanuel Peyre
Let be a finite group and be a faithful representation of over {\bf C}. The group acts on the field of rational functions . The aim of this paper is t…