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arXiv · 2604.18793

Distributivity, affineness, and the structure sheaf

Andy Jiang·Greg Stevenson
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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.

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Andy Jiang, Greg Stevenson. 2026-04-20. Distributivity, affineness, and the structure sheaf. https://arxiv.org/abs/2604.18793

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