W(δ) Weierstrass points

The aim of this article is to generalize a notion of Weierstrass points. For any divisor δ we introduce W(δ) Weierstrass points and M(1/δ) Weierstrass points, and we estimate the numbers of these points. A W(1) Weierstrass point is a Weierstrass point in the ordinary sense, and a M(1/δ) Weierstrass point corresponds to a D Weierstrass point defined by means of H^0(C, (Ω^1)^ (rD) in the algebraic geometry [2]

Real ramification points and real Weierstrass points of real projective curves

Here we construct real smooth projective curves with prescribed genus, gonality and topological type or with a real Weierstrass point with prescribed first positive non-gap