Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 1, Pages 41–50
DOI: https://doi.org/10.4213/faa281 (Mi faa281) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Fixed Points of Algebraic Actions on $\mathbb{C}^n$

P. I. Katsyloa, V. L. Popovb

a Independent University of Moscow
b Moscow State Institute of Electronics and Mathematics (Technical University)
Full-text PDF (1038 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa281
Abstract: It is shown that the action regarded for a rather long time by experts as a possible example disproving the conjecture on the existence of fixed points for reductive algebraic group actions on affine spaces is not an action on an affine variety, and therefore provides no example of this kind. Moreover, it is shown that the actions naturally related to the original one provide no examples of this kind as well.
Received: 01.09.1998
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 1, Pages 33–40
DOI: https://doi.org/10.1007/BF02467065
Bibliographic databases:
Document Type: Article
UDC: 512.743
Language: Russian
Citation: P. I. Katsylo, V. L. Popov, “On Fixed Points of Algebraic Actions on $\mathbb{C}^n$”, Funktsional. Anal. i Prilozhen., 34:1 (2000), 41–50; Funct. Anal. Appl., 34:1 (2000), 33–40
Citation in format AMSBIB
\Bibitem{KatPop00}
\by P.~I.~Katsylo, V.~L.~Popov
\paper On Fixed Points of Algebraic Actions on $\mathbb{C}^n$
\jour Funktsional. Anal. i Prilozhen.
\yr 2000
\vol 34
\issue 1
\pages 41--50
\mathnet{http://mi.mathnet.ru/faa281}
\crossref{https://doi.org/10.4213/faa281}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756733}
\zmath{https://zbmath.org/?q=an:0989.14016}
\transl
\jour Funct. Anal. Appl.
\yr 2000
\vol 34
\issue 1
\pages 33--40
\crossref{https://doi.org/10.1007/BF02467065}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000087490500004}
Linking options:
  • https://www.mathnet.ru/eng/faa281
  • https://doi.org/10.4213/faa281
  • https://www.mathnet.ru/eng/faa/v34/i1/p41
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:565
    Full-text PDF :288
    References:52
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024