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Non-commutative crepant resolutions for some toric singularities. II

Tijdschriftbijdrage - Tijdschriftartikel

Using the theory of dimer models Broomhead proved that every 3-dimensional Gorenstein aftine tonic variety Spec R admits a tonic non-commutative crepant resolution (NCCR). We give an alternative proof of this result by constructing a tilting bundle on a (stacky) crepant resolution of Spec R using standard tonic methods. Our proof does not use dimer models.
Tijdschrift: Journal of Noncommutative Geometry
ISSN: 1661-6952
Issue: 1
Volume: 14
Pagina's: 73 - 103
Jaar van publicatie:2020
Trefwoorden:Tonic varieties, tilting bundle, noncommutative resolution
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:1
CSS-citation score:1
Authors from:Higher Education
Toegankelijkheid:Open