Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/41640
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dc.contributor.authorSPENKO, Spela-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.date.accessioned2023-10-27T11:28:39Z-
dc.date.available2023-10-27T11:28:39Z-
dc.date.issued2023-
dc.date.submitted2023-10-26T18:06:15Z-
dc.identifier.citationJOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023 (801) , p. 1 -43-
dc.identifier.urihttp://hdl.handle.net/1942/41640-
dc.description.abstractLet a reductive group G act on a smooth variety X such that a good quotient X//G exists. We show that the derived category of a noncommutative crepant resolution (NCCR) of X//G, obtained from a G-equivariant vector bundle on X, can be embedded in the derived category of the (canonical, stacky) Kirwan resolution of X//G. In fact, the embedding can be completed to a semi-orthogonal decomposition in which the other parts are all derived categories of Azumaya algebras over smooth Deligne-Mumford stacks.-
dc.description.sponsorshipA significant part of this work was done during a research in pairs program at the “Centro Internazionale per la Ricerca Matematica” in Trento. Further work was carried out at the “Max-Planck-Institut für Mathematik” in Bonn. The authors thank both institutes for the excellent working conditions and invigorating atmosphere. They are grateful to Michel Brion for discussions around Proposition 8.3. They also thank Geoffrey Janssens for helpful and constructive discussions. Moreover, they thank Amnon Yekutieli for several useful comments, in particular those related to the appendix. Furthermore, they thank the referee for very helpful suggestions.-
dc.language.isoen-
dc.publisherWALTER DE GRUYTER GMBH-
dc.titleComparing the Kirwan and noncommutative resolutions of quotient varieties-
dc.typeJournal Contribution-
dc.identifier.epage43-
dc.identifier.issue801-
dc.identifier.spage1-
dc.identifier.volume2023-
local.format.pages43-
local.bibliographicCitation.jcatA1-
dc.description.notesvan den Bergh, M (corresponding author), Univ Hasselt, Vakgrp Wiskunde, Univ Campus, B-3590 Diepenbeek, Belgium.; van den Bergh, M (corresponding author), VUB Main Campus Etterbeek,Pl Laan 2, B-1050 Elsene, Belgium.-
dc.description.notesspela.spenko@ulb.be; michel.vandenbergh@uhasselt.be-
local.publisher.placeGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1515/crelle-2023-0024-
dc.identifier.isi001033685600001-
local.provider.typewosris-
local.description.affiliation[Spenko, Spela] Univ Libre Bruxelles, Dept Math, Campus Plaine CP 213,Bld Triomphe, B-1050 Brussels, Belgium.-
local.description.affiliation[van den Bergh, Michel] Univ Hasselt, Vakgrp Wiskunde, Univ Campus, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[van den Bergh, Michel] VUB Main Campus Etterbeek,Pl Laan 2, B-1050 Elsene, Belgium.-
local.uhasselt.internationalno-
item.accessRightsOpen Access-
item.fullcitationSPENKO, Spela & VAN DEN BERGH, Michel (2023) Comparing the Kirwan and noncommutative resolutions of quotient varieties. In: JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023 (801) , p. 1 -43.-
item.fulltextWith Fulltext-
item.contributorSPENKO, Spela-
item.contributorVAN DEN BERGH, Michel-
crisitem.journal.issn0075-4102-
crisitem.journal.eissn1435-5345-
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