A sharp lower bound for the rank of the natural multiplication map H-0(F)xH(0)(G) --> H-0(FxG) 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)xH(0)(G) --> H-0(FxG) 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.
1998
www.tandf.co.uk/journals/titles/00927872.asp
Algebra and Number Theory
Re, Riccardo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2067712
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