IJPAM: Volume 47, No. 2 (2008)

ON THE COHOMOLOGY OF HIGH RANK
STABLE VECTOR BUNDLES ON $\mathbb {P}^3$

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Here, following an old paper of R. Hartshorne and A. Hirschowitz, we prove (for several Chern classes) the existence of rank $r$ stable vector bundles on $\mathbb {P}^3$ with quasi-natural cohomology.

Received: July 6, 2008

AMS Subject Classification: 14J60

Key Words and Phrases: stable vector bundle, projective space, quasi-natural cohomology

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 2