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Holomorphic principal bundles over elliptic curves

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arxiv math/9811130 v1 pith:OZKOJA6B submitted 1998-11-22 math.AG hep-th

Robert Friedman , John W. Morgan This is my paper · ORCID
classification math.AGhep-th
keywords g-bundlesellipticholomorphicprincipalsemistableautomorphismbundlescanonical
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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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  1. The elliptic Grothendieck-Springer resolution as a simultaneous log resolution of algebraic stacks

    math.AG 2019-08 conditional novelty 8.0 of 10

    The elliptic Grothendieck-Springer resolution gives a simultaneous log resolution for the stack of all principal G-bundles on an elliptic curve, with proofs of elliptic Chevalley and Kostant-Steinberg isomorphisms.

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