IJPAM: Volume 28, No. 1 (2006)

DEGREES OF STABILITY OF COHERENT
SYSTEMS AND HOLOMORPHIC TRIPLES ON CURVES

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


Abstract.Here we introduce the degrees of $\alpha$-stability of coherent systems and holomorphic triples. For a rank $n$ vector bundle $E$ on ${\bf {P}}^1$ we find all coherent systems $(E,V)$, $\dim (V) = k<n$ which are ``maximally $\alpha$-unstable'' in rank one.

Received: January 9, 2006

AMS Subject Classification: 14H60

Key Words and Phrases: holomorphic triples on curves, vector bundles on curves, stable vector bundles, coherent system, degree of stability

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 28
Issue: 1