Fibré vectoriel de rang $2n+1$ sur l'espace ${\mathbb{P}}^{2n+2}$

Abstract

We build in this article new families of algebraic vector bundles of rank $2n+1$ on the complex projective space ${\mathbb{P}}^{2n+2}$ from two bundles of rank $2n$ on ${\mathbb{P}}^{2n+1}$, the weighted null correlation bundles \cite{bah2} and the weighted Tango bundles \cite{bah1} while using the method of Kumar-Peterson-Rao \cite{ku-ra-pe}. We construct another example of vector bundle of rank 3 on ${\mathbb{P}}_{\mathbb{K}}^4$ different than the one presented in \cite{ku-ra-pe}, where $\mathbb{K}$ is any field.

arXiv comment48 pages, in French