102 citations · 388 across the 40 of their papers we have counts for
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Non-commutative crepant resolutions for some toric singularities II
Špela Špenko, Michel Van den Bergh
Using the theory of dimer models Broomhead proved that every 3-dimensional Gorenstein affine toric variety Spec R admits a toric non-commutative crepant resolution (NCCR). We give…
A non-commutative Bertini theorem
Jørgen Vold Rennemo, Ed Segal, Michel Van den Bergh
We prove a version of the classical 'generic smoothness' theorem with smooth varieties replaced by non-commutative resolutions of singular varieties. This in particular implies a n…
Non-commutative crepant resolutions for some toric singularities I
Špela Špenko, Michel Van den Bergh
We give a criterion for the existence of non-commutative crepant resolutions (NCCR's) for certain toric singularities. In particular we recover Broomhead's result that a 3-dimensio…
A note on non-unique enhancements
Alice Rizzardo, Michel Van den Bergh
We give an easy example of a triangulated category, linear over a field , with two different enhancements, linear over , answering a question of Canonaco and Stellari.