IJPAM: Volume 21, No. 4 (2005)

AN AXIOMATIC CONSTRUCTION OF DECORATED
SEMISTABLE VECTOR BUNDLES ON SMOOTH
CURVES: GALOIS UNRAMIFIED COVERINGS

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


Abstract.Let $f: X \to Y$ a Galois unramified covering of smooth and projective curve and $\Phi (X)$, $\Phi (Y)$ `` compatible '' categories of decorated vector bundles on $X$ and $Y$. Here we give an axiomatic framework to say when the push forward preserves stability.

Received: May 6, 2005

AMS Subject Classification: 14H60

Key Words and Phrases: decorated vector bundles, vector bundles on curves, stable vector bundles, Galois unramified coverings of curves

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 21
Issue: 4