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In mathematics a stack or 2-sheaf is a sheaf that takes values in categories rather than sets.
5
votes
Positivity in stack geometry
Perhaps this paper of Andrew Kresch will be helpful. He discusses the notion of a quasi-projective DM stack at length and gives several characterizations of this type of quasi-projectivity.
11
votes
Is the Torelli map an immersion?
Yes the Torelli map is an immersion, at least over $\mathbb{C}$. The Torelli theorem says that the map separates points (on the stack level it also says tha the map is representable) and the infinites …