Plane real algerbaic curves of odd degree with a deep nest - Université Toulouse 3 Accéder directement au contenu
Article Dans Une Revue Journal of Knot Theory and Its Ramifications Année : 2005

Plane real algerbaic curves of odd degree with a deep nest

Stepan Orevkov

Résumé

We apply Murasugi-Tristram inequality to real algebraic curves of odd degree on $RP^2$ with a deep nest, i.e. a nest of the depth $k-1$ where $2k+1$ is the degree. For such curves, the ingredients of the Murasugi-Tristram inequality can be computed (or estimated) inductively using the computations for iterated torus links due to Eisenbud and Neumann as the base of the induction and Conway's skein relation as the induction step. In Appendix B, we give some generalization of the skein relation.

Dates et versions

hal-00138240 , version 1 (24-03-2007)

Identifiants

Citer

Stepan Orevkov. Plane real algerbaic curves of odd degree with a deep nest. Journal of Knot Theory and Its Ramifications, 2005, 14, pp.497-522. ⟨hal-00138240⟩
37 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More