nLab Artin stack

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Contents

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

The original article:

Review in the general context of algebraic stacks:

and in the broader context of derived algebraic geometry:

Last revised on April 16, 2023 at 13:44:55. See the history of this page for a list of all contributions to it.