On the Clifford index of algebraic curves

Ballico, Edoardo

doi:10.1090/S0002-9939-1986-0835868-0

On the Clifford index of algebraic curves
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by Edoardo Ballico

Proc. Amer. Math. Soc. 97 (1986), 217-218

DOI: https://doi.org/10.1090/S0002-9939-1986-0835868-0

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Abstract:

Here we prove (over ${\mathbf {C}}$) that a general $(e + 2)$-gonal algebraic curve of genus $p$ has no $g_d^r$ with $d \leq p - 1,r \geq 2$ and $d - 2r \leq e$.

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