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

epiga:13870 - Épijournal de Géométrie Algébrique, January 7, 2026, Volume 10 - https://doi.org/10.46298/epiga.2025.13870
Real plane separating (M-2)-curves of degree d and totally real pencils of degree d-3Article

Authors: Matilde Manzaroli

    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.


    Volume: Volume 10
    Published on: January 7, 2026
    Accepted on: August 22, 2025
    Submitted on: July 4, 2024
    Keywords: Algebraic Geometry

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