4 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
À propos du groupe fondamental des variétés rationnellement connexes
Antoine Chambert-Loir
(On the fundamental group of rationnally connected varieties.) I show that the fundamental group of a normal variety which is rationally chain connected is finite. The proof holds…
Champs de Hurwitz
Antoine Chambert-Loir
On construit les champs de Hurwitz et on en donne quelques propriétés, essentiellement contenues dans SGA 1. Quelques applications de nature arithmétique en sont déduites. We propo…
Torseurs arithmetiques et espaces fibres
Antoine Chambert-Loir, Yuri Tschinkel
To study problems involving heights as, eg, Manin's conjecture on the number of points of bounded height on an algebraic variety defined over a number field, it is desirable to hav…
Geometrie d'Arakelov et hauteurs canoniques sur des varietes semi-abeliennes
Antoine Chambert-Loir
Canonical heights and Arakelov geometry on semi-abelian varieties. In this paper, we propose a construction of the canonical heights on an extension of an abelian variety by the mu…