Fibr\'e de Tango pond\'er\'e g\'en\'eralis\'e de rang $n-1$ sur l'espace $\mathbb{P}^{n}$

TL;DR

This paper introduces a new family of stable algebraic vector bundles of rank n-1 on complex projective space, extending weighted Tango bundles, and demonstrates their invariance under miniversal deformation.

Contribution

It presents a novel family of stable vector bundles on projective space that generalizes weighted Tango bundles and proves their deformation invariance.

Findings

New stable vector bundles of rank n-1 on $\,\mathbb{P}^n$

Extension of weighted Tango bundles by Cascini

Bundles are invariant under miniversal deformation

Abstract

We study in this paper a new family of stable algebraic vector bundles of rank $ n-1 $ on the complex projective space $\mathbb{P}^{n}$ whose weighted Tango bundles of Cascini \cite{ca} belongs to. We show that these bundles are invariant under a miniversal deformation.