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

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.