Functorial reconstruction theorems for stacks

Details Functorial reconstruction theorems for stacks Functorial reconstruction theorems for stacks

2008-07-28

arxiv.org/abs/0807.4562v1

Mathematics

Algebraic Geometry

36 pages. Preliminary version; comments welcome at any time

Scientific paper

We study the circumstances under which one can reconstruct a stack from its associated functor of isomorphism classes. This is possible surprisingly often: we show that many of the standard examples of moduli stacks are determined by their functors. Our methods seem to exhibit new anabelian-type phenomena, in the form of structures in the category of schemes that encode automorphism data in groupoids.

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