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
Etale devissage, descent and pushouts of stacks
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-2505-6417
2011 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 331, no 1, 194-223 p.Article in journal (Refereed) Published
Abstract [en]

We show that the pushout of an kale morphism and an open immersion exists in the category of algebraic stacks and show that such pushouts behave similarly to the gluing of two open substacks. For example, quasi-coherent sheaves on the pushout can be described by a simple gluing procedure. We then outline a powerful devissage method for representable kale morphisms using such pushouts. We also give a variant of the devissage method for representable quasi-finite flat morphisms.

Place, publisher, year, edition, pages
2011. Vol. 331, no 1, 194-223 p.
Keyword [en]
Etale neighborhood, Distinguished square, Devissage, Descent, Pushout, Algebraic stack, 2-Sheaves
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-31871DOI: 10.1016/j.jalgebra.2011.01.006ISI: 000288143700012OAI: oai:DiVA.org:kth-31871DiVA: diva2:407171
Funder
Swedish Research Council
Note
QC 20110329Available from: 2011-03-29 Created: 2011-03-28 Last updated: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Rydh, David

Search in DiVA

By author/editor
Rydh, David
By organisation
Mathematics (Div.)
In the same journal
Journal of Algebra
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 77 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