Martens-Mumford's Theorems for Brill-Noether Schemes arising from Very Ample Line Bundles
Abstract
Tangent Spaces of Vrd(L), Specific subschemes of Cd arising from various line bundles on C, are described. Then we proceed to prove Martense Theorem 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≤ h0(L)-2, the subscheme Vrd(L) might attain its maximum dimension.
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