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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 1997, Volume 61, Issue 2, Pages 363–397
DOI: https://doi.org/10.1070/im1997v061n02ABEH000119 (Mi im119) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Classification of $G$-varieties of complexity 1

D. A. Timashev

M. V. Lomonosov Moscow State University
English version PDF (400 kB) Citations (30)
References:
PDF
HTML
DOI: https://doi.org/10.1070/im1997v061n02ABEH000119
Abstract: We consider the problem of finding a combinatorial description of the algebraic varieties in a given birational class that admit an action of a reductive group $G$. This is a direct generalization of the theory of toric varieties. A general approach to this problem is described, and the solution is given for varieties in which the orbits in general position of a Borel subgroup $G$ have codimension 1 (varieties of complexity 1).
Received: 17.05.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 2, Pages 127–162
DOI: https://doi.org/10.4213/im119
Bibliographic databases:
MSC: 14L30, 14M17, 52B99
Language: English
Original paper language: Russian
Citation: D. A. Timashev, “Classification of $G$-varieties of complexity 1”, Izv. RAN. Ser. Mat., 61:2 (1997), 127–162; Izv. Math., 61:2 (1997), 363–397
Citation in format AMSBIB
\Bibitem{Tim97}
\by D.~A.~Timashev
\paper Classification of $G$-varieties of complexity~1
\jour Izv. RAN. Ser. Mat.
\yr 1997
\vol 61
\issue 2
\pages 127--162
\mathnet{http://mi.mathnet.ru/im119}
\crossref{https://doi.org/10.4213/im119}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1470147}
\zmath{https://zbmath.org/?q=an:0911.14022}
\transl
\jour Izv. Math.
\yr 1997
\vol 61
\issue 2
\pages 363--397
\crossref{https://doi.org/10.1070/im1997v061n02ABEH000119}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XZ08200007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-13544274488}
Linking options:
  • https://www.mathnet.ru/eng/im119
  • https://doi.org/10.1070/im1997v061n02ABEH000119
  • https://www.mathnet.ru/eng/im/v61/i2/p127
    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:808
    Russian version PDF:395
    English version PDF:64
    References:77
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024