Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Peyre, Emmanuel"'
Autor:
Brion, Michel, Peyre, Emmanuel
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 6, Pp 713-719 (2020)
We say that a smooth algebraic group $G$ over a field $k$ is very special if for any field extension $K/k$, every $G_K$-homogeneous $K$-variety has a $K$-rational point. It is known that every split solvable linear algebraic group is very special. In
Externí odkaz:
https://doaj.org/article/13a3ac7e0c4a4b7e84781d296c83cd8b
Autor:
Peyre, Emmanuel
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-trivial finite morphisms. The problem is to find a way to characterise the
Externí odkaz:
http://arxiv.org/abs/1806.11437
Autor:
Peyre, Emmanuel
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 variety for which the opposite of the canonical line bundle is sufficientl
Externí odkaz:
http://arxiv.org/abs/1602.03806
Autor:
Brion, Michel, Peyre, Emmanuel
Let $X$ 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 $X$ over $\bF_{q^n}$ is a periodic polynomial function of $q^n$ with integer coefficients. Moreover
Externí odkaz:
http://arxiv.org/abs/0803.3346
Autor:
Peyre, Emmanuel
The aim of this paper is to apply the work of Morris on Eisenstein series over global function fields to the study of the asymptotic behavior of the points of bounded height on a generalized flag variety defined as the quotient of a semi-simple algeb
Externí odkaz:
http://arxiv.org/abs/math/0303067
Autor:
Peyre, Emmanuel
Publikováno v:
Invent. Math. 171, No 1, 191-225 (2008)
Let $G$ be a finite group and $W$ be a faithful representation of $G$ over {\bf C}. The group $G$ acts on the field of rational functions $\mathbf C(W)$. The aim of this paper is to give a description of the unramified cohomology group of degree 3 of
Externí odkaz:
http://arxiv.org/abs/math/0212039
Autor:
Brion, Michel, Peyre, Emmanuel
We factor the virtual Poincare polynomial of every homogeneous space G/H, where G is a complex connected linear algebraic group and H is an algebraic subgroup, as $t^{2u} (t^2-1)^r Q_{G/H}(t^2)$ for a polynomial $Q_{G/H}$ with non-negative integer co
Externí odkaz:
http://arxiv.org/abs/math/0102052
Autor:
Peyre, Emmanuel, Tschinkel, Yuri
We test numerically the refined Manin's conjecture about the asymptotics of points of bounded height on Fano varieties for some diagonal cubic surfaces.
Externí odkaz:
http://arxiv.org/abs/math/9809054
Autor:
Peyre, Emmanuel, Tschinkel, Yuri
Publikováno v:
Mathematics of Computation, 2001 Jan 01. 70(233), 367-387.
Externí odkaz:
https://www.jstor.org/stable/2698941