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In mathematics a stack or 2-sheaf is a sheaf that takes values in categories rather than sets.

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Is the Torelli map an immersion?

Therefore, for $g\ge 3$ the Torelli map OF STACKS $\tau:M_g\to A_g$ is not an immersion. It is an immersion outside of the hyperelliptic locus $H_g$. … "Stacks" can be replaced everywhere by the "moduli spaces with level structure of level $l\ge3$ (which are fine moduli spaces). P.P.S. …
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6 votes

Degrees of etale covers of stacks

Most, if not all, properties of stacks and morphisms between them are defined by descent, i.e. by making a base change to schemes. …
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