Functional Analysis and Its Applications

, Volume 52, Issue 2, pp 151–153 | Cite as

On the Hyperbolicity Locus of a Real Curve

  • S. Yu. Orevkov


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.

Key words

algebraic curve algebraic knot 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    J. Björklund, J. Knot Theory and Ramifications, 20:9 (2011), 1285–1309.MathSciNetCrossRefGoogle Scholar
  2. [2]
    M. Kummer and K. Shaw, Ann. de la fac. des sci. de Toulouse. Mathématiques (6) (to appear);
  3. [3]
    G. Mikhalkin and S. Orevkov,
  4. [4]
    S. Yu. Orevkov, GAFA—Geom. Funct. Anal., 12:4 (2002), 723–755.CrossRefGoogle Scholar
  5. [5]
    E. Shamovich and V. Vinnikov,

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Steklov Mathematical Institute, MoscowRussia IMT, L’Université Paul SabatierToulouseFrance

Personalised recommendations