On the essential dimension of infinitesimal group schemes
Langue
en
Article de revue
Ce document a été publié dans
American Journal of Mathematics. 2013-02, vol. 135, n° 1, p. 103-114
Johns Hopkins University Press
Résumé en anglais
We discuss essential dimension of group schemes, with particular attention to infinitesimal group schemes. We prove that the essential dimension of a group scheme of finite type over a field k is at least equal to the ...Lire la suite >
We discuss essential dimension of group schemes, with particular attention to infinitesimal group schemes. We prove that the essential dimension of a group scheme of finite type over a field k is at least equal to the difference between the dimension of its Lie algebra and its dimension. Furthermore, we show that the essential dimension of a trigonalizable group scheme of length p^{n} over a field of characteristic p>0 is at most n. We give several examples.< Réduire
Mots clés
dimension essentielle
schémas en groupes
Origine
Importé de halUnités de recherche