22 citations · 26 across the 5 of their papers we have counts for
6 papers
Exemples de comptage de courbes sur les surfaces
David Bourqui
Let X be a surface whose Cox ring has a single relation satisfying moreover a kind of linearity property. Under a simple assumption, we show that the geometric Manin's conjectures…
La conjecture de Manin géométrique pour une famille de quadriques intrinsèques
David Bourqui
We prove a version of Manin's conjecture for a certain family of intrinsic quadrics, the base field being a global field of positive characteristic. We also explain how a very slig…
Fonctions L d'Artin et nombre de Tamagawa motiviques
David Bourqui
In the first part of this text, we define motivic Artin L-fonctions via a motivic Euler product, and show that they coincide with the analogous functions introduced by Dhillon and…
Comptage de courbes sur le plan projectif éclaté en trois points alignés
David Bourqui
We prove a version of Manin's conjecture for the projective plane blown up in three collinear points, the base field being a global field of positive characteristic.
Produit eulérien motivique et courbes rationnelles sur les variétés toriques
David Bourqui
We study the asymptotical behaviour of the moduli space of morphisms of given anticanonical degree from a rational curve to a split toric variety, when the degree goes to infinity.…
Fonction zêta des hauteurs des variétés toriques non déployées
David Bourqui
We investigate the anticanonical height zeta function of a (non necessarily split) toric variety defined over a global field of positive characteristic, drawing our inspiration fro…