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Semistable principal bundles-II (positive characteristics)
Authors:Email author" target="_blank">V?BalajiEmail author  Email author" target="_blank">AJ?ParameswaranEmail author
Institution:(1) Chennai Mathematical Institute 92, G.N.Chetty Road, Chennai-600017, India;(2) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-40005, India
Abstract:Let H be a semisimple algebraic group and let X be a smooth projective curve defined over an algebraically closed field k. The principal aim of this paper is to prove the existence and projectivity of the moduli spaces of principal H-bundles on X for fields of characteristic p, p > ψ, where ψ is a certain representation-theoretic index associated to H. The projectivity is a consequence of the semistable reduction theorem for principal H-bundles.
Keywords:
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