Geodesic
On the Hyperbolicity Locus of a Real Curve
Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 2, pp. 86-89

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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. 
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     author = {S. Yu. Orevkov},
     title = {On the {Hyperbolicity} {Locus} of a {Real} {Curve}},
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S. Yu. Orevkov. On the Hyperbolicity Locus of a Real Curve. Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 2, pp. 86-89. http://geodesic.mathdoc.fr/item/FAA_2018_52_2_a8/