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

Authors
Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1412.5313
Source
arXiv
In this note, we consider M-curves of odd degree with real scheme of the form $< \mathcal{J} \amalg \alpha \amalg 1 < \beta > >$. With help of complex orientations, we prove that for $m = 9$, $\alpha \geq 2$, and for $m = 11$, $\alpha \geq 3$.