Functorial reconstruction theorems for stacks
Algebraic Geometry
2018-06-18 v1 Category Theory
Abstract
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.
Cite
@article{arxiv.0807.4562,
title = {Functorial reconstruction theorems for stacks},
author = {Max Lieblich and Brian Osserman},
journal= {arXiv preprint arXiv:0807.4562},
year = {2018}
}
Comments
36 pages. Preliminary version; comments welcome at any time