Artin stack



An Artin stack is a geometric stack over the étale site: the stack quotient of a scheme whose automorphism groups are algebraic groups.

This is the general notion of algebraic stack. But often the latter term is used in a more restrictive sense to mean Deligne-Mumford stack.


Artin stacks are named after Michael Artin.

See for instance

  • G. Laumon and L. Moret-Bailly, Champs algébriques , A series of Modern Surveys in Mathematics vol. 39, Springer-Verlag 2000.

Revised on August 21, 2013 17:23:31 by anon? (