Summary
Fix a curve X of genus g and L ε Picd(X). Let θL(X) be the image of X through the complete linear system H0(X, L). Here we prove that a general projection of θL(X) intoP N has maximal rank if either (a) N⩾4, 0⩽g⩽N−1, d⩾g+N, or (b) d⩾d (g, N) for suitable d(g, N).
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Ballico, E., Ellia, P. On the postulation of a general projection of a curve inP N,N⩾4. Annali di Matematica pura ed applicata 147, 267–301 (1987). https://doi.org/10.1007/BF01762421
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DOI: https://doi.org/10.1007/BF01762421