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.
Holomorphic principal bundles over elliptic curves
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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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The elliptic Grothendieck-Springer resolution as a simultaneous log resolution of algebraic stacks
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.