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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
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.
Received: 15.06.2016 Revised: 08.01.2017
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
Linking options:
https://www.mathnet.ru/eng/im8582https://doi.org/10.1070/IM8582 https://www.mathnet.ru/eng/im/v81/i5/p150
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Abstract page: | 335 | Russian version PDF: | 39 | English version PDF: | 10 | References: | 39 | First page: | 30 |
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