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Localization algebras and deformations of Koszul algebras

Braden, Tom; Licata, Anthony; Phan, Christopher; Proudfoot, Nicholas; Webster, Ben


We show that the center of a flat graded deformation of a standard Koszul algebra A behaves in many ways like the torus-equivariant cohomology ring of an algebraic variety with finite fixed point set. In particular, the center of A acts by characters on the deformed standard modules, providing a "localization map". We construct a universal graded deformation of A and show that the spectrum of its center is supported on a certain arrangement of hyperplanes which is orthogonal to the arrangement...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Selecta Mathematica
DOI: 10.1007/s00029-011-0058-y


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