Quasiexcellence implies strong generation
Algebraic Geometry
2021-11-08 v1 Category Theory
Abstract
We prove that the bounded derived category of coherent sheaves on a quasicompact separated quasiexcellent scheme of finite dimension has a strong generator in the sense of Bondal-Van den Bergh. This extends a recent result of Neeman and is new even in the affine case. The main ingredient includes Gabber's weak local uniformization theorem and the notions of boundedness and descendability of a morphism of schemes.
Cite
@article{arxiv.2009.02013,
title = {Quasiexcellence implies strong generation},
author = {Ko Aoki},
journal= {arXiv preprint arXiv:2009.02013},
year = {2021}
}
Comments
5 pages