67 citations · 134 across the 19 of their papers we have counts for
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Le théorème de réduction stable de Deligne et Mumford
Antoine Chambert-Loir
The stable reduction theorem of Deligne and Mumford --- The moduli space of smooth projective curves of genus is a quasi-projective algebraic variety, but is not projective. To…
Relations de Hodge--Riemann et combinatoire des matroïdes (d'après K. Adiprasito, J. Huh et E. Katz)
Antoine Chambert-Loir
Finite matroids are combinatorial structures that express the concept of linear independence. In 1964, G.-C. Rota conjectured that the coefficients of the "characteristic polynomia…
Formes différentielles réelles et courants sur les espaces de Berkovich
Antoine Chambert-Loir, Antoine Ducros
We define a theory of real -forms and currents on Berkovich spaces which is parallel to the theory of differential forms on complex spaces. It is based on Lagerberg's theory…
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…