Normally generated line bundles on general curves, II |
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Authors: | Edoardo Ballico |
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Institution: | Dipartimento di Matematica, Università di Trento, via Sommarive 14, 38123 Povo (TN), Italy |
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Abstract: | Let C be a general curve of genus g≥3. Here we prove that there is a normally generated L∈Picd(C) such that h0(C,L)=r+1≥4 (i.e. a very ample line bundle which embeds C in Pr as a projectively normal curve) if and only if (r+1)h1≤g≤r(r−1)/2+2h1, where h1?g+r−d=h1(C,L). |
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Keywords: | 14H50 |
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