On the existence of special stable spanned vector bundles on projective curves

E. Ballico

Vol. 206 (2002), No. 1, 1–8

DOI: 10.2140/pjm.2002.206.1

Abstract

Let X be a smooth projective curve. Here we give conditions on r, d, v (essentially, existence of special spanned line bundles on X with many sections) for the existence of a rank r spanned vector bundle E on X with rank(E) = r, deg(E) = d and h⁰(X,E) ≥ v.

Milestones

Received: 29 September 1999

Revised: 18 January 2002

Published: 1 September 2002