(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.