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On the gonality of curves in \(\mathbb{P}^ n\). (English) Zbl 0888.14010
The author studies the gonality of several projective curves which arise in a natural way (e.g. curves with maximal genus in \(\mathbb{P}^n\), curves with given degree \(d\) and genus \(g\) for all possible \(d,g\) if \(n=3\) and with large \(g\) for arbitrary \((d,g,n))\). He obtains only lower bounds for \(\text{Cliff}(C)\), where \(\text{Cliff}(C)\) stands for the Clifford index of a smooth complete curve \(C\) of genus \(g\geq 3\).

MSC:
14H50 Plane and space curves
14N05 Projective techniques in algebraic geometry
14H45 Special algebraic curves and curves of low genus
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