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Izvestiya: Mathematics, 2010, Volume 74, Issue 2, Pages 411–438
DOI: https://doi.org/10.1070/IM2010v074n02ABEH002491 (Mi im2735) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Rationality of the Poincaré series in Arnold's local problems of analysis

R. A. Sarkisyan

Finance Academy under the Government of the Russian Federation
English version PDF (410 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM2010v074n02ABEH002491
Abstract: For any smooth action of a Lie pseudo-group we construct a domain (in the corresponding infinite jet space) consisting of finitely many open sets (atoms) such that all points in each atom have the same rational Poincaré series. We also prove that these series can be calculated algorithmically.
Keywords: orbits of actions of diffeomorphism groups in jet spaces, dimensions of orbits, Poincaré series of dimensions of orbits, rationality of a series.
Received: 11.10.2007
Revised: 09.06.2008
Bibliographic databases:
Document Type: Article
UDC: 512.628.2
MSC: 53A55, 58A20
Language: English
Original paper language: Russian
Citation: R. A. Sarkisyan, “Rationality of the Poincaré series in Arnold's local problems of analysis”, Izv. Math., 74:2 (2010), 411–438
Citation in format AMSBIB
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\by R.~A.~Sarkisyan
\paper Rationality of the Poincar\'e series in Arnold's local problems of analysis
\jour Izv. Math.
\yr 2010
\vol 74
\issue 2
\pages 411--438
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  • https://doi.org/10.1070/IM2010v074n02ABEH002491
  • https://www.mathnet.ru/eng/im/v74/i2/p195
    • This publication is cited in the following 2 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
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    Abstract page:499
    Russian version PDF:203
    English version PDF:21
    References:53
    First page:9
     
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