One Positive and Two Negative Results for Derived Categories of Algebraic Stacks
dc.contributor.author | Hall, Jack | |
dc.contributor.author | Neeman, Amnon | |
dc.contributor.author | Rydh, David | |
dc.date.accessioned | 2021-06-22T23:44:44Z | |
dc.date.issued | 2018-01-22 | |
dc.description.abstract | Let 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.sponsorship | The 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.issn | 1474-7480 | en_AU |
dc.identifier.uri | http://hdl.handle.net/1885/237896 | |
dc.provenance | https://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.publisher | Cambridge University Press | en_AU |
dc.relation | http://purl.org/au-research/grants/arc/FL100100137 | en_AU |
dc.relation | http://purl.org/au-research/grants/arc/DE150101799 | en_AU |
dc.relation | http://purl.org/au-research/grants/arc/DP150102313 | en_AU |
dc.rights | © 2018 Cambridge University Press | en_AU |
dc.rights.license | CC BY-NC-ND License | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Journal of the Institute of Mathematics of Jussieu | en_AU |
dc.subject | derived categories | en_AU |
dc.subject | algebraic stacks | en_AU |
dc.title | One Positive and Two Negative Results for Derived Categories of Algebraic Stacks | en_AU |
dc.type | Journal article | en_AU |
dcterms.accessRights | Open Access | |
dcterms.dateAccepted | 2017-09-24 | |
local.bibliographicCitation.issue | 5 | en_AU |
local.bibliographicCitation.lastpage | 1111 | en_AU |
local.bibliographicCitation.startpage | 1087 | en_AU |
local.contributor.affiliation | Hall, Jack, University of Arizona | en_AU |
local.contributor.affiliation | Neeman, Amnon, College of Science, ANU | en_AU |
local.contributor.affiliation | Rydh, David, KTH Royal Institute of Technology | en_AU |
local.contributor.authoremail | u9903889@anu.edu.au | en_AU |
local.contributor.authoruid | Neeman, Amnon, u9903889 | en_AU |
local.description.notes | Added manually as didn't import from ARIES | en_AU |
local.identifier.ariespublication | u3102795xPUB4429 | en_AU |
local.identifier.ariespublication | u3102795xPUB4429 | |
local.identifier.citationvolume | 18 | en_AU |
local.identifier.doi | 10.1017/S1474748017000366 | en_AU |
local.identifier.uidSubmittedBy | u5031974 | en_AU |
local.publisher.url | https://www.cambridge.org/ | en_AU |
local.type.status | Accepted Version | en_AU |
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