Geodesic
Bounds for Chern classes of semistable vector bundles on complex projective spaces
Colloquium Mathematicum, Tome 65 (1993) no. 2, pp. 277-290.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm-65-2-277-290

Wiera Dobrowolska 1

1 
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Wiera Dobrowolska. Bounds for Chern classes of semistable vector bundles on complex projective spaces. Colloquium Mathematicum, Tome 65 (1993) no. 2, pp. 277-290. doi : 10.4064/cm-65-2-277-290. http://geodesic.mathdoc.fr/articles/10.4064/cm-65-2-277-290/

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