On projectively normal embeddings of generalk-gonal curves |
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Authors: | E Ballico |
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Institution: | (1) Present address: Dipartimento di Matematica, Università di Trento, 38050 Povo (TN), Italy |
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Abstract: | Fix integersg, k andt witht>0,k≥3 andtk<g/2−1. LetX be a generalk-gonal curve of genusg andR∈Pic
k
(X) the uniqueg
k
1
onX. SetL:=K
X⊗(R
*)⊗t.L is very ample. Leth
L:X→P(H
0(X, L)*) be the associated embedding. Here we prove thath
L(X) is projectively normal. Ifk≥4 andtk<g/2−2 the curveh
L(X) is scheme-theoretically cut out by quadrics.
The author was partially supported by MURST and GNSAGA of CNR (Italy). |
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Keywords: | 14H45 14H50 14H99 |
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