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hello, everyone, I am reading Deligne-Mumford's paper, and the section 4 of this paper, they given some properties of Deligne-Mumford stack without proof. I can't understand the coherent sheaf and sheaf cohomology on Deligne-Mumford stack. Does somebody could explain to me? or show me some reference about sheaf cohomology on Deligne-Mumford stack.

Thank you very much!

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See Champs Algebriques by Laumon and Moret-Bailly. –  S. Carnahan Dec 17 '11 at 8:49
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