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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
##### Keywords:
space curve; Clifford index; gonality
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