IJPAM: Volume 30, No. 1 (2006)

LOW RANK VECTOR BUNDLES AND REFLEXIVE
SHEAVES ON ${\bf {P}}^3$ DEFINED OVER $\mathbb {F}_q$

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


Abstract.Here for many Chern classes we prove the existence of rank $2$ and rank $3$ geometrically stable vector bundles and reflexive sheaves on ${\bf {P}}^3$ defined over $\mathbb {F}_q$ with $q$ as low as we are able to do.

Received: April 29, 2006

AMS Subject Classification: 14J60

Key Words and Phrases: vector bundle over ${\bf {P}}^3$, stable vector bundle, reflexive sheaf, finite field

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 1