Fibré vectoriel de 0-corrélation pondéré sur l'espace $P^{2n+1}$

Abstract

We study in this paper a new family of stable algebraic symplectic vector bundles of rank $2n$ on the complex projective space $P^{2n+1}$ whose classical null correlation bundles belongs. We show that these bundles are invariant under a miniversal deformation. We also study the sufficient cohomological conditions for a symplectic vector bundle on a projective variety to be stable.

arXiv comment32 pages, in French