The paper gives intrinsic definitions of Type A potentials on double A_n quivers, proves monomialization and correspondence to crepant resolutions of cAn singularities, solves the Realisation Conjecture, and classifies cases for n ≤ 3.
Lectures on Noncommutative Resolutions
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abstract
These lecture notes are an expanded write-up of my short lecture series "Noncommutative Resolutions" given to the MSRI Graduate Student Workshop "Noncommutative Algebraic Geometry" during June 2012. The notes include five chapters, an appendix on quivers, exercises and sketch solutions. The accompanying video lectures can be found at http://www.msri.org/web/msri/scientific/workshops/show/-/event/Wm9213
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Local forms for the double $A_n$ quiver
The paper gives intrinsic definitions of Type A potentials on double A_n quivers, proves monomialization and correspondence to crepant resolutions of cAn singularities, solves the Realisation Conjecture, and classifies cases for n ≤ 3.