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.

Multiplication of sections and Clifford bounds for stable vector bundles on curves

RE, Riccardo
1998-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/22749
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