Covariant Isotropy of Grothendieck Toposes
Category Theory
2021-04-29 v1 Algebraic Geometry
Abstract
We provide an explicit characterization of the covariant isotropy group of any Grothendieck topos, i.e. the group of (extended) inner automorphisms of any sheaf over a small site. As a consequence, we obtain an explicit characterization of the centre of a Grothendieck topos, i.e. the automorphism group of its identity functor.
Cite
@article{arxiv.2104.13487,
title = {Covariant Isotropy of Grothendieck Toposes},
author = {Jason Parker},
journal= {arXiv preprint arXiv:2104.13487},
year = {2021}
}
Comments
21 pages plus 6 page appendix