Open Access
October 2018 On dicritical singularities of Levi-flat sets
Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov
Author Affiliations +
Ark. Mat. 56(2): 395-408 (October 2018). DOI: 10.4310/ARKIV.2018.v56.n2.a12

Abstract

It is proved that dicritical singularities of real analytic Levi-flat sets coincide with the set of Segre degenerate points.

Funding Statement

The second author is partially supported by the Natural Sciences and Engineering Research Council of Canada. The third author is partially supported by Labex CEMPI.

Citation

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Sergey Pinchuk. Rasul Shafikov. Alexandre Sukhov. "On dicritical singularities of Levi-flat sets." Ark. Mat. 56 (2) 395 - 408, October 2018. https://doi.org/10.4310/ARKIV.2018.v56.n2.a12

Information

Received: 21 August 2017; Published: October 2018
First available in Project Euclid: 19 June 2019

zbMATH: 1407.37078
MathSciNet: MR3893782
Digital Object Identifier: 10.4310/ARKIV.2018.v56.n2.a12

Subjects:
Primary: 32Dxx , 32Sxx , 34Mxx , 37F75

Keywords: dicritical singularity , Foliation , Levi-flat set , Segre variety

Rights: Copyright © 2018 Institut Mittag-Leffler

Vol.56 • No. 2 • October 2018
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