Splitting algorithm for vector bundles

Bernd Martin, Thomas Siebert
Brandenburgische Technische Universität Cottbus
Institut für Mathematik
PF 101344 03046 Cottbus
martin@math.tu-cottbus.de

September 28, 1997

Abstract:

A new criteria for indecomposability of vector bundles on projective varieties is presented. It is deduced from a new finite algorithm computing direct sum decompositions of graded modules over graded algebras. This algorithm applies as well to modules over local complete algebras over a field.