Hecke transformation for orthogonal bundles and stability of Picard bundles

2011/03/04 by Indranil Biswas, Biswas, Indranil, Tomas L. Gomez +1
Mathematics · #14D20 #14F05 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14D20 #msc:14F05

paper · pdf · doi:10.48550/arxiv.1103.0870

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

arxiv created 2011/03/04 · arxiv updated 2011/03/07

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.

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