Hecke transformation for orthogonal bundles and stability of Picard bundles

Abstract

We define Hecke transformation for orthogonal bundles over a compact Riemann surface. Using the cycles on a moduli space of orthogonal bundles given by Hecke transformations, we prove that the projectivized Picard bundle on the moduli space is stable.

23 pages. Final version of 2009 preprint; to appear in Communications in Analysis and Geometry