MartensMumford's Theorems for BrillNoether Schemes arising from Very Ample Line Bundles
Abstract
Tangent Spaces of V^r_d(L), Specific subschemes of C_d 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\leq h^{0}(L)2, the subscheme V^r_d(L) might attain its maximum dimension.
 Publication:

arXiv eprints
 Pub Date:
 May 2015
 DOI:
 10.48550/arXiv.1505.00410
 arXiv:
 arXiv:1505.00410
 Bibcode:
 2015arXiv150500410B
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 10 pages