Distributivity, affineness, and the structure sheaf
Algebraic Geometry
2026-04-22 v1 Category Theory
Abstract
We observe that for a quasi-compact and quasi-separated scheme the structure sheaf generates the perfect complexes if and only if the lattice of thick subcategories is distributive if and only if the affinization map is 0-affine. Examples are discussed, including an example of a quasi-projective scheme which is not quasi-affine but for which these equivalent conditions hold.
Cite
@article{arxiv.2604.18793,
title = {Distributivity, affineness, and the structure sheaf},
author = {Andy Jiang and Greg Stevenson},
journal= {arXiv preprint arXiv:2604.18793},
year = {2026}
}
Comments
13 pages, comments welcome