On the stability of certain higher rank bundles on \(\mathbb{P}^ N\)
This paper proves the stability of some vector bundles on \(\mathbb{P}^ n\), like \(\bigwedge^ 2(\Omega)\), \(\Omega\) being the sheaf of differential 1-forms on \(\mathbb{P}^ n\) (over any algebraically closed field \(K)\). -- If \(\text{char} K=0\), the paper shows also the stability of all the bundles \(A_{n,d}\) [introduced by \textit{M. L. Green}, J. Differ. Geom. 27, No. 1, 155-159 (1988; Zbl 0674.14005)] defined as kernels of maps \[ H^ 0(\mathbb{P}^ n,{\mathcal O}_{\mathbb{P}^ n}(d))\otimes{\mathcal O}_{\mathbb{P}^ n}\to{\mathcal O}_{\mathbb{P}^ n}(d). \]
scientific article; zbMATH DE number 109291