Email this article On the Hyperbolicity Locus of a Real Curve
- Authors: Orevkov S.Y.1
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Affiliations:
- Steklov Mathematical Institute, Moscow, Russia IMT, L’Université Paul Sabatier
- Issue: Vol 52, No 2 (2018)
- Pages: 151-153
- Section: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234474
- DOI: https://doi.org/10.1007/s10688-018-0222-7
- ID: 234474
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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.
About the authors
S. Yu. Orevkov
Steklov Mathematical Institute, Moscow, Russia IMT, L’Université Paul Sabatier
Author for correspondence.
Email: orevkov@math.ups-tlse.fr
France, Toulouse
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