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Holomorphic principal bundles over elliptic curves

Robert Friedman·John W. Morgan
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Abstract

In this paper, the first of a series of three, we classify holomorphic principal G-bundles over an elliptic curve, where G is a reductive group. We also study the local and global properties of the moduli space of semistable G-bundles. We identify canonical representatives for each S-equivalence class of semistable G-bundles, and study their automorphism groups.

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Robert Friedman, John W. Morgan. 1998-11-22. Holomorphic principal bundles over elliptic curves. https://arxiv.org/abs/math/9811130

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