THE RATIONALITY PROBLEM FOR GROUP VARIETIES

Citation
Vp. Platonov et Vi. Chernousov, THE RATIONALITY PROBLEM FOR GROUP VARIETIES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(3), 1996, pp. 245-250
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
322
Issue
3
Year of publication
1996
Pages
245 - 250
Database
ISI
SICI code
0764-4442(1996)322:3<245:TRPFGV>2.0.ZU;2-F
Abstract
Let K be a finite extension of the p-adic field Q(p), and let G be a s imple algebraic group defined over K. We prove that the variety G is K -rational, provided G is not of type A(n), n > 2.