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arXiv · 2606.19417

Quasi-affine schemes and singly compactly generated $t$-structures

Giovanni Rossanigo
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Abstract

We show that for a quasi-compact quasi-separated scheme $X$ with an ample family of line bundles, the connective half $\text{QCoh}(X)_{\geq0}$ of the standard $t$-structure on the derived $\infty$-category of quasi-coherent sheaves is compactly generated by a connective perfect object if and only if $X$ is quasi-affine.

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Giovanni Rossanigo. 2026-06-17. Quasi-affine schemes and singly compactly generated $t$-structures. https://arxiv.org/abs/2606.19417

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