One Positive and Two Negative Results for Derived Categories of Algebraic Stacks

dc.contributor.authorHall, Jack
dc.contributor.authorNeeman, Amnon
dc.contributor.authorRydh, David
dc.date.accessioned2021-06-22T23:44:44Z
dc.date.issued2018-01-22
dc.description.abstractLet X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts about the unbounded derived category of X: (1) Dqc(X) is compactly generated by perfect complexes and (2) if X is noetherian or has affine diagonal, then the functor ΨX:D(QCoh(X))→Dqc(X) is an equivalence. Our main results are that for algebraic stacks in positive characteristic, the assertions (1) and (2) are typically false.en_AU
dc.description.sponsorshipThe first and second author are supported by the Australian Research Council (ARC), grant numbers FL100100137, DE150101799, and DP150102313. The third author is supported by the Swedish Research Council (VR), grant numbers 2011-5599 and 2015-05554.en_AU
dc.identifier.issn1474-7480en_AU
dc.identifier.urihttp://hdl.handle.net/1885/237896
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/1993..."Author accepted manuscript can be made open access on non-commercial institutional repository after 6 month embargo with CC BY-NC-ND license" from SHERPA/RoMEO site (as at 25.6.2021).
dc.publisherCambridge University Pressen_AU
dc.relationhttp://purl.org/au-research/grants/arc/FL100100137en_AU
dc.relationhttp://purl.org/au-research/grants/arc/DE150101799en_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP150102313en_AU
dc.rights© 2018 Cambridge University Pressen_AU
dc.rights.licenseCC BY-NC-ND License
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceJournal of the Institute of Mathematics of Jussieuen_AU
dc.subjectderived categoriesen_AU
dc.subjectalgebraic stacksen_AU
dc.titleOne Positive and Two Negative Results for Derived Categories of Algebraic Stacksen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
dcterms.dateAccepted2017-09-24
local.bibliographicCitation.issue5en_AU
local.bibliographicCitation.lastpage1111en_AU
local.bibliographicCitation.startpage1087en_AU
local.contributor.affiliationHall, Jack, University of Arizonaen_AU
local.contributor.affiliationNeeman, Amnon, College of Science, ANUen_AU
local.contributor.affiliationRydh, David, KTH Royal Institute of Technologyen_AU
local.contributor.authoremailu9903889@anu.edu.auen_AU
local.contributor.authoruidNeeman, Amnon, u9903889en_AU
local.description.notesAdded manually as didn't import from ARIESen_AU
local.identifier.ariespublicationu3102795xPUB4429en_AU
local.identifier.ariespublicationu3102795xPUB4429
local.identifier.citationvolume18en_AU
local.identifier.doi10.1017/S1474748017000366en_AU
local.identifier.uidSubmittedByu5031974en_AU
local.publisher.urlhttps://www.cambridge.org/en_AU
local.type.statusAccepted Versionen_AU

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