nLab
Artin stack

Contents

Idea

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.

Properties

References

Artin stacks are named after Michael Artin.

See for instance

Revised on January 16, 2016 13:22:54 by Adeel Khan (93.131.160.237)