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arXiv · 2404.09671

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

Matilde Manzaroli
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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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Matilde Manzaroli. 2024-04-15. Real plane separating (M-2)-curves of degree d and totally real pencils of degree d-3. https://doi.org/10.46298/epiga.2025.13870

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