ABSTRACT

Let Cm be a curve of odd degree m with one unique non-empty oval; its real scheme is 〈J q β q 1〈α〉〉. Consider the union of all principal triangles whose vertices are interior ovals. If this union is a disc bounded by a polygon, we say that it is the convex hull of the interior ovals, and call it ∆. It was first observed by S. Orevkov that for m ≥ 13, the interior ovals may have no convex hull.