×

zbMATH — the first resource for mathematics

Rationality of \(G/P\) for a nonreduced parabolic subgroup-scheme \(P\). (English) Zbl 0785.20023
It is shown that if \(G\) is a semisimple linear algebraic group over an algebraically closed field of characteristic \(p>3\) and \(P\) a parabolic subgroup scheme of \(G\), then \(G/P\) is a rational projective variety.
Reviewer: V.L.Popov (Moskva)

MSC:
20G15 Linear algebraic groups over arbitrary fields
14L15 Group schemes
PDF BibTeX XML Cite
Full Text: DOI