Tannaka Duality for Geometric Stacks
Algebraic Geometry
2007-05-23 v2
Abstract
We show that, under appropriate hypothesis, the groupoid of maps from S to an an algebraic stack X can be identified with a category of tensor functors from coherent sheaves on X to coherent sheaves on S. As an application, we show that if S is a proper variety over the field of complex numbers, then every ``analytic'' map from S to X is ``algebraic''.
Cite
@article{arxiv.math/0412266,
title = {Tannaka Duality for Geometric Stacks},
author = {Jacob Lurie},
journal= {arXiv preprint arXiv:math/0412266},
year = {2007}
}
Comments
14 pages; preliminary version