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Sbornik: Mathematics, 2009, Volume 200, Issue 10, Pages 1521–1536
DOI: https://doi.org/10.1070/SM2009v200n10ABEH004048 (Mi sm7149) 		 
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
English version PDF (318 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2009v200n10ABEH004048
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
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 10, Pages 107–122
DOI: https://doi.org/10.4213/sm7149
Bibliographic databases:
UDC: 512.816.4+512.745.2
MSC: 14J50, 14L30, 14M17
Language: English
Original paper language: Russian
Citation: A. N. Skorobogatov, “Automorphisms and forms of toric quotients of homogeneous spaces”, Mat. Sb., 200:10 (2009), 107–122; Sb. Math., 200:10 (2009), 1521–1536
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:53
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