Strong generators in 𝐷_{𝑝𝑒𝑟𝑓}(𝑋) for schemes with a separator

Jatoba, V.

doi:10.1090/proc/15353

Strong generators in $\textbf {D}_{\textbf {perf}}(X)$ for schemes with a separator
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by V. B. Jatoba PDF

Proc. Amer. Math. Soc. 149 (2021), 1957-1971 Request permission

Abstract:

This paper extends the result from Amnon Neeman regarding strong generators in $\mathbf {D}_{perf}(X)$, from $X$ being a quasicompact, separated scheme to $X$ being quasicompact, quasiseparated scheme that admits a separator with some conditions. Neeman’s result states a necessary and sufficient condition for $\mathbf {D}_{perf}(X)$ being regular.

Together with being proper over a noetherian commutative ring, those conditions give an interesting description for when an $R$-linear functor $H$ is representable.

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