Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/34163
Title: | Tilting Bundles on Hypertoric Varieties | Authors: | VAN DEN BERGH, Michel SPENKO, Spela |
Issue Date: | 2021 | Publisher: | OXFORD UNIV PRESS | Source: | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021 (2) , p. 1034 -1042 | Abstract: | Recently McBreen and Webster constructed a tilting bundle on a smooth hypertoric variety (using reduction to finite characteristic) and showed that its endomorphism ring is Koszul. In this short note we present alternative proofs for these results. We simply observe that the tilting bundle constructed by Halpern-Leistner and Sam on a generic open Geometric Invariant Theory substack of the ambient linear space restricts to a tilting bundle on the hypertoric variety. The fact that the hypertoric variety is defined by a quadratic regular sequence then also yields an easy proof of Koszulity. | Notes: | Van den Bergh, M (corresponding author), Univ Hasselt, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium. michel.vandenbergh@uhasselt.be |
Other: | Van den Bergh, M (corresponding author), Univ Hasselt, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium. michel.vandenbergh@uhasselt.be | Document URI: | http://hdl.handle.net/1942/34163 | ISSN: | 1073-7928 | e-ISSN: | 1687-0247 | DOI: | 10.1093/imrn/rnz218 | ISI #: | WOS:000629746800005 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2022 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
1805.05285.pdf | Non Peer-reviewed author version | 149.86 kB | Adobe PDF | View/Open |
WEB OF SCIENCETM
Citations
2
checked on Apr 22, 2024
Page view(s)
42
checked on Sep 7, 2022
Download(s)
14
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.