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- W1975934075 abstract "Let C be an ACM (projectively normal) nonsingular curve in P 3 not contained in a plane, and suppose C is general in its Hilbert scheme — this is irreducible once the postulation is fixed. Answering a question posed by Peskine, we show the gonality of C is d l, where d is the degree of the curve and l is the maximum order of a multisecant line of C. Furthermore lD 4 except for two series of cases, in which the postulation of C forces every surface of minimum degree containing C to contain a line as well. We compute the value of l in terms of the postulation of C in these exceptional cases. We also show the Clifford index of C is equal to gon.C/ 2." @default.
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- W1975934075 date "2011-06-03" @default.
- W1975934075 modified "2023-09-27" @default.
- W1975934075 title "Gonality of a general ACM curve in ℙ<sup>3</sup>" @default.
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- W1975934075 doi "https://doi.org/10.2140/pjm.2011.251.269" @default.
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