Martens-Mumford theorems for Brill-Noether schemes arising from very ample line bundles

摘要

Tangent spaces of '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 , the scheme might attain its maximum dimension.