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.
"Del Pezzo surfaces as Springer fibres for exceptional groups"
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abstract
We show that simultaneous log resolutions of simply elliptic singularities can be constructed inside suitable stacks of principal bundles over elliptic curves. In particular, we give a direct geometrical construction of del Pezzo surfaces from the corresponding exceptional simple algebraic 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.