Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Moscow Mathematical Journal, 2007, Volume 7, Number 2, Pages 209–218
DOI: https://doi.org/10.17323/1609-4514-2007-7-2-209-218 (Mi mmj279) 		 
This article is cited in 62 scientific papers (total in 62 papers)

The Jacobian conjecture is stably equivalent to the Dixmier conjecture

A. Ya. Kanel-Belovab, M. L. Kontsevichc

a Moscow Institute of Open Education
b Hebrew University of Jerusalem
c Institut des Hautes Études Scientifiques
Full-text PDF Citations (62)
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2007-7-2-209-218
Abstract: The paper is devoted to the proof of equivalence of Jacobian and Dixmier conjectures. We show that $2n$-dimensional Jacobian conjecture implies Dixmier conjecture for $W_n$. The proof uses “antiquantization”: positive characteristics and Poisson brackets on the center of Weyl algebra in characteristic $p$.
Key words and phrases: Poisson brackets, symplectic structure, quantization, polynomial automorphism, Weyl algebra, differential operator, Jacobian conjecture.
Received: June 30, 2006
Bibliographic databases:
MSC: 16S32, 16S80, 14R15
Language: English
Citation: A. Ya. Kanel-Belov, M. L. Kontsevich, “The Jacobian conjecture is stably equivalent to the Dixmier conjecture”, Mosc. Math. J., 7:2 (2007), 209–218
Citation in format AMSBIB
\Bibitem{KanKon07}
\by A.~Ya.~Kanel-Belov, M.~L.~Kontsevich
\paper The Jacobian conjecture is stably equivalent to the Dixmier conjecture
\jour Mosc. Math.~J.
\yr 2007
\vol 7
\issue 2
\pages 209--218
\mathnet{http://mi.mathnet.ru/mmj279}
\crossref{https://doi.org/10.17323/1609-4514-2007-7-2-209-218}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2337879}
\zmath{https://zbmath.org/?q=an:1128.16014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261829300004}
Linking options:
  • https://www.mathnet.ru/eng/mmj279
  • https://www.mathnet.ru/eng/mmj/v7/i2/p209
    • Related presentations:
    This publication is cited in the following 62 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:1097
    Full-text PDF :1
    References:143
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024