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Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 2, Pages 86–89
DOI: https://doi.org/10.4213/faa3547 (Mi faa3547) 		 
Brief communications

On the Hyperbolicity Locus of a Real Curve

S. Yu. Orevkovab

a Steklov Mathematical Institute, Moscow, Russia
b IMT, L'Université Paul Sabatier, Toulouse, France
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DOI: https://doi.org/10.4213/faa3547
Abstract: Given a real algebraic curve in the projective 3-space, its hyperbolicity locus is the set of lines with respect to which the curve is hyperbolic. We give an example of a smooth irreducible curve whose hyperbolicity locus is disconnected but the connected components are not distinguished by the linking numbers with the connected components of the curve.
Keywords: algebraic curve, algebraic knot.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00592a
Partially supported by RFBR grant 17-01-00592a.
Received: 05.12.2017
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 2, Pages 151–153
DOI: https://doi.org/10.1007/s10688-018-0222-7
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
Language: Russian
Citation: S. Yu. Orevkov, “On the Hyperbolicity Locus of a Real Curve”, Funktsional. Anal. i Prilozhen., 52:2 (2018), 86–89; Funct. Anal. Appl., 52:2 (2018), 151–153
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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