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On the weight of higher order Weierstrass points

On the weight of higher order Weierstrass points

nonsingular curve of genus $g\geqq 2$ over an algebraically closed field $k$ of characteristic zero and $D$ a divisor on $C$ with $\dim|D|$ $\geqq 0$ .Then we may define the notion of D-Weierstrass points (see $e$ .$g$ .$[3]$ ).Let $P$ be a point on $C$ and $l=\dim|D|+1$ .If $\nu$ is …