|
This article is cited in 4 scientific papers (total in 4 papers)
Automorphisms and forms of toric quotients of homogeneous spaces
A. N. Skorobogatovab a Imperial College, Department of Mathematics
b A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Abstract:
We compute the automorphism group of the quotient of a generalized Grassmannian $G/P$ by the action of a maximal torus of the semisimple group $G$. We classify the twisted forms of such quotients, that is,
varieties isomorphic to these quotients over an algebraic closure of the base field. It is proved that all such forms are unirational.
Bibliography: 20 titles.
Keywords:
homogeneous spaces, tori, twisted forms, torsors.
Received: 29.08.2008 and 08.05.2009
Citation:
A. N. Skorobogatov, “Automorphisms and forms of toric quotients of homogeneous spaces”, Sb. Math., 200:10 (2009), 1521–1536
Linking options:
https://www.mathnet.ru/eng/sm7149https://doi.org/10.1070/SM2009v200n10ABEH004048 https://www.mathnet.ru/eng/sm/v200/i10/p107
|
Statistics & downloads: |
Abstract page: | 418 | Russian version PDF: | 204 | English version PDF: | 24 | References: | 55 | First page: | 6 |
|