Etale devissage, descent and pushouts of stacks
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
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.
Etale neighborhood, Distinguished square, Devissage, Descent, Pushout, Algebraic stack, 2-Sheaves
IdentifiersURN: urn:nbn:se:kth:diva-31871DOI: 10.1016/j.jalgebra.2011.01.006ISI: 000288143700012OAI: oai:DiVA.org:kth-31871DiVA: diva2:407171
FunderSwedish Research Council
QC 201103292011-03-292011-03-282011-03-29Bibliographically approved