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arXiv · 1712.01644

On the hyperbolicity locus of a real curve

Stepan Orevkov
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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.

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Stepan Orevkov. 2017-12-05. On the hyperbolicity locus of a real curve. https://doi.org/10.1007/s10688-018-0222-7

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