Non-special projectively normal line bundles on general $k$-gonal curves
Volume 84 / 2004
Annales Polonici Mathematici 84 (2004), 55-60
MSC: Primary 14H51.
DOI: 10.4064/ap84-1-5
Abstract
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.
