Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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
References:
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
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”, Sb. Math., 200:10 (2009), 1521–1536
Citation in format AMSBIB
\Bibitem{Sko09}
\by A.~N.~Skorobogatov
\paper Automorphisms and forms of toric quotients of homogeneous spaces
\jour Sb. Math.
\yr 2009
\vol 200
\issue 10
\pages 1521--1536
\mathnet{http://mi.mathnet.ru//eng/sm7149}
\crossref{https://doi.org/10.1070/SM2009v200n10ABEH004048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2584223}
\zmath{https://zbmath.org/?q=an:1199.14013}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009SbMat.200.1521S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000273971200012}
\elib{https://elibrary.ru/item.asp?id=19066090}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-74949137962}
Linking options:
  • https://www.mathnet.ru/eng/sm7149
  • https://doi.org/10.1070/SM2009v200n10ABEH004048
  • https://www.mathnet.ru/eng/sm/v200/i10/p107
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:418
    Russian version PDF:204
    English version PDF:24
    References:55
    First page:6
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024