On the Abel-Jacobi Map for Divisors of Higher Rank on a Curve

Bifet, Emili; Ghione, Franco; Letizia, Maurizio

On the Abel-Jacobi Map for Divisors of Higher Rank on a Curve

Authors

Bifet, Emili

Ghione, Franco

Letizia, Maurizio

Description

The aim of this paper is to present an algebro-geometric approach to the study of the geometry of the moduli space of stable bundles on a smooth projective curve defined over an algebraically closed field $k$, of arbitrary characteristic. This establishes a bridge between the arithmetic approach of Harder, Narasimhan et al. and the gauge group approach of Atiyah and Bott. One of the basic ideas is to consider a notion of divisor of higher rank and a suitable Abel-Jacobi map generalizing the classical notions in rank one.
34 pages, AmS-TeX 2.0