"Del Pezzo surfaces as Springer fibres for exceptional groups"

TL;DR

This paper constructs del Pezzo surfaces geometrically from exceptional algebraic groups using stacks of principal bundles over elliptic curves, linking singularity resolutions to algebraic group theory.

Contribution

It provides a new geometric construction of del Pezzo surfaces via principal bundles over elliptic curves associated with exceptional groups.

Findings

Explicit construction of del Pezzo surfaces from exceptional groups

Connection between singularity resolutions and algebraic group structures

Geometric realization of elliptic singularities

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.