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arXiv · 1412.5313

M-curves of degree 9 or 11 with one unique non-empty oval

Séverine Fiedler-Le Touzé
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Abstract

In this note, we consider M-curves of odd degree with real scheme of the form $< \mathcal{J} \amalg α\amalg 1 < β> >$. With help of complex orientations, we prove that for $m = 9$, $α\geq 2$, and for $m = 11$, $α\geq 3$.

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Séverine Fiedler-Le Touzé. 2017-03-08. M-curves of degree 9 or 11 with one unique non-empty oval. https://arxiv.org/abs/1412.5313

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