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29 March 2024
 
  » arxiv » 1001.2123

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Poincar'e Families of G-Bundles on a curve
Indranil Biswas ; Norbert Hoffmann ;
Date 13 Jan 2010
AbstractLet G be a reductive group over an algebraically closed field k. Consider the moduli space of stable principal G-bundles on a smooth projective curve C over k. We give necessary and sufficient conditions for the existence of Poincar’e bundles over open subsets of this moduli space, and compute the orders of the corresponding obstruction classes. This generalizes the previous results of Newstead, Ramanan and Balaji-Biswas-Nagaraj-Newstead to all reductive groups, to all topological types of bundles, and also to all characteristics.
Source arXiv, 1001.2123
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