Characterizing algebraic stacks

Sharon Hollander

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We extend the notion of algebraic stack to an arbitrary subcanon- ical site C. If the topology on C is local on the target and satisfies descent for morphisms, we show that algebraic stacks are precisely those which are weakly equivalent to representable presheaves of groupoids whose domain map is a cover. This leads naturally to a definition of algebraic ri-stacks. We also compare different sites naturally associated to a stack.

Original languageEnglish
Pages (from-to)1465-1476
Number of pages12
JournalProceedings of the American Mathematical Society
Issue number4
StatePublished - 1 Apr 2008
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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