Topologie et d\'enombrement des courbes alg\'ebriques r\'eelles singuli\`eres
Algebraic Geometry
2026-01-14 v1 Combinatorics
Abstract
We describe the topology of singular real algebraic curves in a smooth surface. We enumerate and bound in terms of the degree the number of topological types of singular algebraic curves in the real projective plane.
Keywords
Cite
@article{arxiv.2106.15450,
title = {Topologie et d\'enombrement des courbes alg\'ebriques r\'eelles singuli\`eres},
author = {Christopher-Lloyd Simon},
journal= {arXiv preprint arXiv:2106.15450},
year = {2026}
}
Comments
32 pages, in French, 17 figures