Abstract
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-dimensional toric Gorenstein singularity has a NCCR. Our result also yields the existence of a NCCR for a 4-dimensional toric Gorenstein singularity which is known to have no toric NCCR.
| Original language | English |
|---|---|
| Pages (from-to) | 8120-8138 |
| Number of pages | 19 |
| Journal | International Mathematics Research Notices |
| Volume | 2020 |
| Issue number | 21 |
| DOIs | |
| Publication status | Published - 1 Nov 2020 |
Bibliographical note
Funding Information:This work was supported by EPSRC grant [EP/M008460/1 to S.S.]; M.V.D.B. is a senior researcher at the Research Foundation Flanders (FWO). While working on this project he was supported by the FWO grant G0D8616N: “Hochschild cohomology and deformation theory of triangulated categories.”
Publisher Copyright:
© 2020 The Author(s) 2018. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
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