Real plane separating (M-2)-curves of degree d and totally real pencils of degree d-3

2024/04/15 by Matilde Manzaroli, Manzaroli, Matilde
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Context (archaeology) #Degree (music) #Digital Image Processing Techniques #General position #Geometry #Mathematics #Physics #Plane (geometry) #Plane curve #Regular polygon #Set (abstract data type) #math.AG

paper · pdf · doi:10.46298/epiga.2025.13870

published as Épijournal de Géométrie Algébrique, Volume 10 (January 7, 2026) epiga:13870

openalex created_date 2024/04/17 · arxiv created 2026/01/06 · openalex publication_date 2026/01/07 · openalex updated_date 2026/08/01 · arxiv updated 2026/08/05

Abstract

It is well known that a non-singular real plane projective curve of degree five with five connected components is separating if and only if its ovals are in non-convex position. In this article, this property is set into a different context and generalised to all real plane separating (M-2)-curves.

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