Del Pezzo surfaces as Springer fibres for exceptional groups

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Abstract

We show that simultaneous log resolutions of simply elliptic surface 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.
Original languageEnglish
Pages (from-to)1-41
Number of pages41
JournalPROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
Volume122
Issue number1
Early online date10 Sept 2019
DOIs
Publication statusPublished - Jan 2021

Keywords

  • 14J17 (primary)
  • 20G41 (secondary)

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