Strong Generators in Dperf(X) for Schemes with a Separator

This work extends the result from Amnon Neeman regarding strong generators in Dperf(X), from X being a quasicompact, separated scheme to X being quasicompact, quasiseparated scheme that admits a separator with some extra conditions. Neeman's result states a necessary and su cient condition for Dperf(X) to be regular. Together with being proper over a noetherian commutative ring, the conditions above give an interesting description for when an R-linear functor H is representable.