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- W1618621152 abstract "Author(s): Hartshorne, Robin | Abstract: In this paper we review the notions of gonality and Clifford index of an abstract curve. For a curve embedded in a projective space, we investigate the connection between the ci of the curve and the gc al properties of its emb. In particular if $C$ is a curve of degree $d$ in ${P}^3$, and if $L$ is a multisecant of maximum order $k$, then the pencil of planes through $L$ cuts out a $g^1_{d-k}$ on $C$. If the gonality of $C$ is equal to $d-k$ we say the gonality of $C$ can be computed by multisecants. We discuss the question whether the go of every smooth ACM curve in ${P}^3$ can be computed by multisecants, and we show the answer is yes in some special cases." @default.
- W1618621152 created "2016-06-24" @default.
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- W1618621152 date "2001-04-27" @default.
- W1618621152 modified "2023-09-27" @default.
- W1618621152 title "Clifford Index of ACM Curves in ${mathbb P}^3$" @default.
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