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Mohamed Bahtiti

Publications and source records attributed to Mohamed Bahtiti.

3 recordsLinked to original sources

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

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.

math.AG↗

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

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.

math.AG↗