On Huisman's conjectures about unramified real curves

Mario Kummer, Dimitri Manevich

Let $X\subset {\mathbb{P}}^n$ be an unramified real curve with $X(\mathbb{R})\ne \varnothing$. If $n\ge 3$ is odd, Huisman conjectures that $X$ is an $M$-curve and that every br…