Non-special projectively normal line bundles on general -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.