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arxiv: 1103.0870 · v1 · pith:2RCBWRKQnew · submitted 2011-03-04 · 🧮 math.AG

Hecke transformation for orthogonal bundles and stability of Picard bundles

classification 🧮 math.AG
keywords bundlesheckeorthogonalmodulipicardspacetransformationbundle
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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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