Semistable principal bundles-II (positive characteristics)

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.