# IJPAM: Volume 16, No. 4 (2004)

STABLE VECTOR BUNDLES ON CURVES:
SYMMETRIC AND ANTI-SYMMETRIC MORPHISMS

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

Abstract.Let be a smooth curve of genus . For any vector bundle on and any the involution defined by defines an involution on the vector space . Let (resp. ) its invariant (resp. anti-invariant) subspace. Here we compute and for all integers such that , and when is a general stable vector bundle with rank and degree and is a general line bundle of degree .

Received: September 14, 2004

AMS Subject Classification: 14H60

Key Words and Phrases: stable vector bundle, vector bundles on curves, anti-symmetric morphism, symmetric morphism

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 16
Issue: 4