Fibrés de Schwarzenberger et fibrés logarithmiques généralisés

Abstract

We propose a generalization of logarithmic and Schwarzenberger bundles over $¶^n=¶^n(\C)$ when the rank is greater than $n$. The first ones are associated to finite sets of points on ${\P }^{n\vee }$ and the second ones to curves with degree greater than $n$ on ${\P }^{n\vee }$. On the projective plane we show that two logarithmic bundles are isomorphic if and only if they are associated to the same set of points or if the two sets of points belong to a curve of degree equal to the rank of the considered bundles.

arXiv comment12 pages