"Del Pezzo surfaces as Springer fibres for exceptional groups"

I. Grojnowski; N.I. Shepherd-Barron

"Del Pezzo surfaces as Springer fibres for exceptional groups"

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arxiv 1507.01872 v4 pith:2S24JIPK submitted 2015-07-07 math.AG

I. Grojnowski , N.I. Shepherd-Barron This is my paper · ORCID

classification math.AG

keywords ellipticexceptionalgroupspezzosurfacesalgebraicbundlesconstructed

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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
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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