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Izvestiya: Mathematics, 2017, Volume 81, Issue 5, Pages 1030–1043
DOI: https://doi.org/10.1070/IM8582 (Mi im8582) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Dicritical singularities and laminar currents on Levi-flat hypersurfaces

S. I. Pinchuka, R. G. Shafikovb, A. B. Sukhovc

a Indiana University, USA
b University of Western Ontario, Canada
c Université de Lille
English version PDF (287 kB) Citations (9)
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DOI: https://doi.org/10.1070/IM8582
Abstract: We establish an effective criterion for a dicritical singularity of a real analytic Levi-flat hypersurface. The criterion is stated in terms of Segre varieties. As an application, we obtain a structure theorem for a certain class of currents in the non-dicritical case.
Keywords: Levi-flat set, dicritical singularity, foliation, current.
Funding agency Grant number
Natural Sciences and Engineering Research Council of Canada (NSERC)
Labex
R. G. Shafikov is partially supported by the Natural Sciences and Engineering Research Council of Canada. A. B. Sukhov is partially supported by Labex CEMPI.
Received: 15.06.2016
Revised: 08.01.2017
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2017, Volume 81, Issue 5, Pages 150–164
DOI: https://doi.org/10.4213/im8582
Bibliographic databases:
Document Type: Article
UDC: 517.55
MSC: 37F75, 34M, 32S, 32D
Language: English
Original paper language: Russian
Citation: S. I. Pinchuk, R. G. Shafikov, A. B. Sukhov, “Dicritical singularities and laminar currents on Levi-flat hypersurfaces”, Izv. RAN. Ser. Mat., 81:5 (2017), 150–164; Izv. Math., 81:5 (2017), 1030–1043
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:335
    Russian version PDF:39
    English version PDF:10
    References:39
    First page:30
     
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