IJPAM: Volume 47, No. 4 (2008)

A SPLITTING CRITERION FOR VECTOR BUNDLES
ON CONES OVER RATIONAL NORMAL 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 prove a splitting criterion for torsion free sheaves on the projective cone over a rational normal curve.

Received: August 28, 2008

AMS Subject Classification: 14J60

Key Words and Phrases: arithmetically Cohen-Macaulay sheaf, ACM vector bundle, projective cone, splitting criterion, rational normal curve

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 4