Brieskorn–Grothendieck resolution

For the Grothendieck resolution of a reductive algebraic group, see Grothendieck–Springer simultaneous resolution.

In mathematics, a Brieskorn–Grothendieck resolution is a resolution conjectured by Alexander Grothendieck, that in particular gives a resolution of the universal deformation of a Kleinian singularity. Egbert Brieskorn (1971) announced the construction of this resolution, and Peter Slodowy (1980) published the details of Brieskorn's construction.

References

• Brieskorn, Egbert (1971), "Singular elements of semi-simple algebraic groups", Actes du Congrès International des Mathématiciens (Nice, 1970), vol. 2, Gauthier-Villars, pp. 279–284, MR 0437798, archived from the original on 2015-04-02, retrieved 2012-03-17
• Slodowy, Peter (1980), Simple singularities and simple algebraic groups, Lecture Notes in Mathematics, vol. 815, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0090294, ISBN 978-3-540-10026-3, MR 0584445