Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Perfect complexes on algebraic stacks
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2017 (English)In: Compositio Mathematica, ISSN 0010-437X, E-ISSN 1570-5846, Vol. 153, no 11, 2318-2367 p.Article in journal (Refereed) Published
Abstract [en]

We develop a theory of unbounded derived categories of quasi-coherent sheaves on algebraic stacks. In particular, we show that these categories are compactly generated by perfect complexes for stacks that either have finite stabilizers or are local quotient stacks. We also extend Toen and Antieau-Gepner's results on derived Azumaya algebras and compact generation of sheaves on linear categories from derived schemes to derived Deligne-Mumford stacks. These are all consequences of our main theorem: compact generation of a presheaf of triangulated categories on an algebraic stack is local for the quasi-finite flat topology.

Place, publisher, year, edition, pages
Cambridge University Press, 2017. Vol. 153, no 11, 2318-2367 p.
Keyword [en]
derived categories, algebraic stacks, compact generation, perfect complexes
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-217178DOI: 10.1112/S0010437X17007394ISI: 000413336200002Scopus ID: 2-s2.0-85028328157OAI: oai:DiVA.org:kth-217178DiVA: diva2:1154301
Funder
Swedish Research Council, 2011-5599 2015-05554
Note

QC 20171102

Available from: 2017-11-02 Created: 2017-11-02 Last updated: 2017-11-02Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Rydh, David
By organisation
Mathematics (Div.)
In the same journal
Compositio Mathematica
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 28 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf