文摘
Tangent spaces of \({V_{d}^{r}(L)}\)’s, specific subschemes of C d arising from various line bundles L on C, are described. Then we proceed to prove the theorem of Martens for these schemes, by which we determine curves C which for some very ample line bundle L on C and some integers r and d with \({d\leq h^{0}(L)-2}\), the scheme \({V_{d}^{r}(L)}\) might attain its maximum dimension. Mathematics Subject classification Primary 14H99 Secondary 14H51