Semistable Principal Bundles-II (in positive characteristics)

Details Semistable Principal Bundles-II (in positive characteristics) Semistable Principal Bundles-II (in positive characteristics)

2002-05-04

arxiv.org/abs/math/0205037v1

Mathematics

Algebraic Geometry

LaTeX. Final version

Scientific paper

Let H be a semisimple algebaric group and let X be a smooth projective curve defined over an algebraically closed field k. In the first part of this paper we show that the moduli of semistable principal H-bundles exists once given a "low-height" representation of H. We also show the projectivity of the moduli space if p > \psi, where \psi is a representation theoritic index. The projectivity is a consequence of a semistable reduction theorem. The irreducibility of the moduli space of semistable H-bundles for simple and simply connected group is obtained as a consequence.

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