A sharp lower bound for the rank of the natural multiplication map $H^0(F)\otimes H^0(G)\to H^0(F\otimes G)$ is given, F and G being vector bundles generically generated by their global sections on an integral projective variety. Some Clifford-type inequalities in the context of the Brill-Noether theory of vector bundles on a curve are proved and their sharpness is studied.
|Titolo:||Multiplication of sections and Clifford bounds for stable vector bundles on curves|
|Data di pubblicazione:||1998|
|Appare nelle tipologie:||1.1 Articolo in rivista|