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On the essential dimension of infinitesimal group schemes
Language
en
Article de revue
This item was published in
American Journal of Mathematics. 2013-02, vol. 135, n° 1, p. 103-114
Johns Hopkins University Press
English Abstract
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 ...Read more >
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.Read less <
Keywords
dimension essentielle
schémas en groupes
Origin
Hal imported