Poincare families and automorphisms of principal bundles on a curve

Biswas, Indranil ; Hoffmann, Norbert (2009) Poincare families and automorphisms of principal bundles on a curve Comptes Rendus Mathematique, 347 (21-22). pp. 1285-1288. ISSN 1631-073X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S16310...

Related URL: http://dx.doi.org/10.1016/j.crma.2009.10.006

Abstract

Let C be a smooth projective curve, and let G be a reductive algebraic group. We give a necessary condition, in terms of automorphism groups of principal G-bundles on C, for the existence of Poincare families parameterized by Zariski-open parts of their coarse moduli schemes. Applications are given for the moduli spaces of orthogonal and symplectic bundles.

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Deposited On:12 Oct 2010 04:16
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