On Huisman’s conjectures about unramified real curves

Abstract Let X ⊂ ℙ n be an unramified real curve with (ℝ) ≠ 0. If ≥ 3 is odd, Huisman [9] conjectured that M -curve and every branch of a pseudo-line. 4 even, he conjectures rational normal or twisted form such curve. Recently, family -curves in providing counterexamples to the first conjecture was constructed [11]. In this note we construct another are not even -curves. We remark second follows for generic curves odd degree from de Jonquières formula.