Monoidal Infinity Category of Complexes from Tannakian Viewpoint
Algebraic Geometry
2012-09-28 v2 Algebraic Topology
Abstract
In this paper we prove that a morphism between schemes or stacks naturally corresponds to a symmetric monoidal functor between stable infinity-categories of quasi-coherent complexes. It can be viewed as a derived analogue of Tannaka duality. As a consequence, we deduce that an algebraic stack satisfying a certain condition can be recovered from the stable infinity-category of quasi-coherent complexes with tensor operation.
Cite
@article{arxiv.1004.3087,
title = {Monoidal Infinity Category of Complexes from Tannakian Viewpoint},
author = {Hiroshi Fukuyama and Isamu Iwanari},
journal= {arXiv preprint arXiv:1004.3087},
year = {2012}
}
Comments
final version