Holomorphic principal bundles over elliptic curves

Details Holomorphic principal bundles over elliptic curves Holomorphic principal bundles over elliptic curves

1998-11-22

arxiv.org/abs/math/9811130v1

Mathematics

Algebraic Geometry

68 pages, AMS-TeX, amsppt style

Scientific paper

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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