Bounds for Chern classes of semistable vector bundles on complex projective spaces
Volume 65 / 1993
Colloquium Mathematicum 65 (1993), 277-290
DOI: 10.4064/cm-65-2-277-290
Abstract
This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on $ℙ^n$. Non-negative polynomials in Chern classes are constructed for 4-vector bundles on $ℙ^4$ and a generalization of the presented method to r-bundles on $ℙ^n$ is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.
