English

"Del Pezzo surfaces as Springer fibres for exceptional groups"

Algebraic Geometry 2019-09-18 v4

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.

Keywords

Cite

@article{arxiv.1507.01872,
  title  = {"Del Pezzo surfaces as Springer fibres for exceptional groups"},
  author = {I. Grojnowski and N. I. Shepherd-Barron},
  journal= {arXiv preprint arXiv:1507.01872},
  year   = {2019}
}

Comments

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

R2 v1 2026-06-22T10:07:25.639Z