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Topologie et dénombrement des courbes algébriques réelles
Christopher-Lloyd Simon1
1 ENS de Lyon, 15 parvis René Descartes, 69342 Lyon Cédex 07, France
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 31 (2022) no. 2, pp. 383-422.

We describe the topology of singular real algebraic curves in a smooth surface. We enumerate and bound the number of topological types of singular algebraic curves in the real projective plane as a function of the degree.

Nous décrivons la topologie des courbes algébriques réelles singulières dans une surface lisse. Nous énumérons et bornons en fonction du degré le nombre de types topologiques de courbes algébriques singulières du plan projectif réel.

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Accepted:
Published online:
DOI: 10.5802/afst.1698
Keywords: Courbe algébrique réelle, éclatement, classe combinatoire, décomposition de Cunningham d’un graphe, grammaire algébrique, opérade, combinatoire analytique

Christopher-Lloyd Simon 1

1 ENS de Lyon, 15 parvis René Descartes, 69342 Lyon Cédex 07, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Christopher-Lloyd Simon. Topologie et dénombrement des courbes algébriques réelles. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 31 (2022) no. 2, pp. 383-422. doi : 10.5802/afst.1698. https://afst.centre-mersenne.org/articles/10.5802/afst.1698/

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