Problème de Brill-Noether pour les fibrés de steiner. Applications aux courbes gauches

Abstract

A Steiner bundle over the projective 3-space is the kernel in a trivial bundle of a morphism defined by a matrix of linear forms. We produce various Steiner bundles E of rank n such that E(1) has n - 1 sections, the dependency locus of which is a smooth curve.