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On the Hyperbolicity Locus of a Real Curve

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Functional Analysis and Its Applications Aims and scope

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.

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Correspondence to S. Yu. Orevkov.

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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 52, No. 2, pp. 86–89, 2018

Original Russian Text Copyright © by S. Yu. Orevkov

Partially supported by RFBR grant 17-01-00592a.

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Orevkov, S.Y. On the Hyperbolicity Locus of a Real Curve. Funct Anal Its Appl 52, 151–153 (2018). https://doi.org/10.1007/s10688-018-0222-7

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  • DOI: https://doi.org/10.1007/s10688-018-0222-7

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