On the homogeneous ideal of projectively normal curves
The author fixes integers k, d, g such that \(g\geq 0\), \(d\geq g+3\), \(k>0\), \(2k<d-g\), \(d\geq (g(k+1)/k)+k+1\) and proves then that for any general line bundle L of degree \(d\) on a general smooth complete algebraic curve X of genus \(g\) over an algebraically closed field, the projective image of X associated to L is projectively normal and its homogeneous ideal is generated by quadratic forms.
scientific article; zbMATH DE number 4179537