Semistable Principal Bundles-II (in positive characteristics)

V. Balaji; A. J. Parameswaran

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arXiv · math/0205037

Semistable Principal Bundles-II (in positive characteristics)

V. Balaji·A. J. Parameswaran

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Abstract

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 > ψ, where ψis 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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BibTeX RIS

V. Balaji, A. J. Parameswaran. 2002-05-04. Semistable Principal Bundles-II (in positive characteristics). https://arxiv.org/abs/math/0205037

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