Non-primitive linear systems on smooth algebraic curves and a generalization of Maroni theory.
Non-simple vector bundles on curves.
Non-special projectively normal line bundles on general k-gonal curves
Let X be a sufficiently general smooth k-gonal curve of genus g and R ∈ Pic(X) the degree k spanned line bundle. We find an optimal integer z > 0 such that the line bundle is very ample and projectively normal.