Non-special projectively normal line bundles on general $k$-gonal curves

Volume 84 / 2004

E. Ballico Annales Polonici Mathematici 84 (2004), 55-60 MSC: Primary 14H51. DOI: 10.4064/ap84-1-5


Let $X$ be a sufficiently general smooth $k$-gonal curve of genus $g$ and $R\in {\rm Pic}(X)$ the degree $k$ spanned line bundle. We find an optimal integer $z>0$ such that the line bundle $R^{\otimes z}$ is very ample and projectively normal.


  • E. BallicoDepartment of Mathematics
    University of Trento
    38050 Povo (TN), Italy

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