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Results tagged with stacks
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user 13139
In mathematics a stack or 2-sheaf is a sheaf that takes values in categories rather than sets.
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Finite-type Artin Stack over $\mathbb C$
Suppose I have an Artin stack $\mathfrak M$ locally of finite-type over $\mathbb C$ with presentation $M\rightarrow \mathfrak M$. Suppose further that $\mathfrak M$ "represents" (in the stack sense) …
- 2,108
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How does descent theory imply a sheaf is a scheme?
I understand how descent theory is what allows one to define and construct stacks, but I've never seen a result which says something to this effect (for example, I haven't seen it in Vistoli's stack notes … One finds similar statements in the other standard papers about DM stacks. I was wondering what results in "descent theory" they are referring to. …
- 2,108