Algebraic actions of discrete groups: the $p$-adic method
Résumé
We study groups of automorphisms and birational transformations of quasi-projective varieties. Two methods are combined; the first one is based on p-adic analysis, the second makes use of isoperimetric inequalities and Lang-Weil estimates. For instance, we show that if SL n (Z) acts faithfully on a complex quasi-projective variety X by birational transformations, then dim(X) ≥ n − 1 and X is rational if dim(X) = n − 1.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
|---|
Loading...