Hecke transformation for orthogonal bundles and stability of Picard bundles

Details Hecke transformation for orthogonal bundles and stability of Picard bundles Hecke transformation for orthogonal bundles and stability of Picard bundles

2011-03-04

arxiv.org/abs/1103.0870v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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