MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Let F be a finite type proper Deligne-Mumford Stack over a perfect field. Is it true that the coarse moduli space of F is proper?

share|cite|improve this question
The map from the stack to the space is a proper homeomorphism - so yes. Brian Conrad has a "modern" proof of Keel and Mori's theorem on the existence of coarse moduli spaces which you may find interesting (and can find on his webpage). – mdeland Apr 8 '11 at 12:31
mdeland: Your comment should be an answer. – S. Carnahan Apr 9 '11 at 15:48

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.