"Del Pezzo surfaces as Springer fibres for exceptional groups"

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.

This is a re-written version of "From exceptional groups to del Pezzo surfaces and simultaneous log resolutions via principal bundles over elliptic curves". It contains 2 figures. This version corrects one of the figures

References in corpus (2)

• Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
• The elliptic Grothendieck-Springer resolution as a simultaneous log resolution of algebraic stacks

Cited by in corpus (3)

• The elliptic Grothendieck-Springer resolution as a simultaneous log resolution of algebraic stacks
• Weyl group covers for Brieskorn's resolutions in all characteristics and the integral cohomology of $G/P$
• The Jordan--Chevalley decomposition for $G$-bundles on elliptic curves