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http://hdl.handle.net/1942/34162
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DC Field | Value | Language |
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dc.contributor.author | VAN DEN BERGH, Michel | - |
dc.contributor.author | SPENKO, Spela | - |
dc.date.accessioned | 2021-05-31T10:08:16Z | - |
dc.date.available | 2021-05-31T10:08:16Z | - |
dc.date.issued | 2021 | - |
dc.date.submitted | 2021-04-22T09:38:55Z | - |
dc.identifier.citation | Selecta Mathematica-New Series, 27 (2) (Art N° 16) | - |
dc.identifier.issn | 1022-1824 | - |
dc.identifier.uri | http://hdl.handle.net/1942/34162 | - |
dc.description.abstract | If G is a reductive group acting on a linearized smooth scheme X then we show that under suitable standard conditions the derived category D(X-ss/G) of the corresponding GIT quotient stack Xss/G has a semi-orthogonal decomposition consisting of derived categories of coherent sheaves of rings on X-ss//G which are locally of finite global dimension. One of the components of the decomposition is a certain non-commutative resolution of X-ss//G constructed earlier by the authors. As a concrete example we obtain in the case of odd Pfaffians a semi-orthogonal decomposition of the corresponding quotient stack in which all the parts are certain specific non-commutative crepant resolutions of Pfaffians of lower or equal rank which had also been constructed earlier by the authors. In particular this semi-orthogonal decomposition cannot be refined further since its parts are Calabi-Yau. The results in this paper complement results by Halpern-Leistner, Ballard-Favero-Katzarkov and DonovanSegal that assert the existence of a semi-orthogonal decomposition of D(X/G) in which one of the parts is D(X-ss/G). | - |
dc.description.sponsorship | S. Spenko is a FWO [PEGASUS]2 Marie Sklodowska-Curie fellow at the Free University of Brussels (funded by the European Union Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 665501 with the Research Foundation Flanders (FWO)). During part of this work she was also a postdoc with Sue Sierra at the University of Edinburgh. Partly she was supported by yL'Oreal-UNESCO scholarship "For women in science". M. Van den Bergh 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". Substantial progress on this project was made during visits of the authors to each other's host institutions. They respectively thank the University of Hasselt and the University of Edinburgh for their hospitality and support. | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER INTERNATIONAL PUBLISHING AG | - |
dc.rights | The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature 2021 | - |
dc.subject.other | Non-commutative resolutions | - |
dc.subject.other | Geometric invariant theory | - |
dc.subject.other | Semi-orthogonal decomposition | - |
dc.title | Semi-orthogonal decompositions of GIT quotient stacks | - |
dc.type | Journal Contribution | - |
dc.identifier.issue | 2 | - |
dc.identifier.volume | 27 | - |
local.format.pages | 43 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Van den Bergh, M (corresponding author), Univ Hasselt, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium. | - |
dc.description.notes | Spela.Spenko@vub.ac.be; michel.vandenbergh@uhasselt.be | - |
dc.description.other | Van den Bergh, M (corresponding author), Univ Hasselt, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium. Spela.Spenko@vub.ac.be; michel.vandenbergh@uhasselt.be | - |
local.publisher.place | GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 16 | - |
local.type.programme | H2020 | - |
local.relation.h2020 | 665501 | - |
dc.identifier.doi | 10.1007/s00029-021-00628-3 | - |
dc.identifier.isi | 000626667100001 | - |
dc.identifier.eissn | 1420-9020 | - |
local.provider.type | wosris | - |
local.uhasselt.uhpub | yes | - |
local.description.affiliation | [Spenko, Spela] Vrije Univ Brussel, Dept Wiskunde, Pl Laan 2, B-1050 Ixelles, Belgium. | - |
local.description.affiliation | [Van den Bergh, Michel] Univ Hasselt, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium. | - |
local.uhasselt.international | no | - |
item.validation | ecoom 2022 | - |
item.contributor | VAN DEN BERGH, Michel | - |
item.contributor | SPENKO, Spela | - |
item.accessRights | Open Access | - |
item.fullcitation | VAN DEN BERGH, Michel & SPENKO, Spela (2021) Semi-orthogonal decompositions of GIT quotient stacks. In: Selecta Mathematica-New Series, 27 (2) (Art N° 16). | - |
item.fulltext | With Fulltext | - |
crisitem.journal.issn | 1022-1824 | - |
crisitem.journal.eissn | 1420-9020 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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Špenko-Bergh2021_Article_Semi-orthogonalDecompositionsO.pdf Restricted Access | Published version | 630.3 kB | Adobe PDF | View/Open Request a copy |
1603.02858.pdf | Non Peer-reviewed author version | 503.04 kB | Adobe PDF | View/Open |
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