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http://hdl.handle.net/1942/31940| Title: | Non-commutative crepant resolutions for some toric singularities. II | Authors: | SPENKO, Spela VAN DEN BERGH, Michel |
Issue Date: | 2020 | Publisher: | EUROPEAN MATHEMATICAL SOC | Source: | JOURNAL OF NONCOMMUTATIVE GEOMETRY, 14 (1) , p. 73 -103 | Abstract: | 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. | Notes: | Spenko, S (corresponding author), Univ Libre Bruxelles, Dept Math, Campus Plaine CP 213,Blvd Triomphe, B-1050 Brussels, Belgium. spela.spenko@vub.ac.be; michel.vandenbereh@uhasselt.be |
Other: | Spenko, S (corresponding author), Univ Libre Bruxelles, Dept Math, Campus Plaine CP 213,Blvd Triomphe, B-1050 Brussels, Belgium. spela.spenko@vub.ac.be; michel.vandenbereh@uhasselt.be | Keywords: | Tonic varieties;tilting bundle;noncommutative resolution | Document URI: | http://hdl.handle.net/1942/31940 | ISSN: | 1661-6952 | e-ISSN: | 1661-6960 | DOI: | 10.4171/JNCG/359 | ISI #: | WOS:000548168700003 | Rights: | © 2020 EMS Publishing House. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2021 |
| Appears in Collections: | Research publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1707.08245.pdf | Non Peer-reviewed author version | 334.53 kB | Adobe PDF | View/Open |
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