2019/10/23 by Victor Jatoba, Jatoba, Victor
Mathematics · #18E30 #Category Theory (math.CT) #FOS: Mathematics #math.CT #msc:18E30
paper · pdf · doi:10.48550/arxiv.1910.10676
arxiv created 2019/10/23 · arxiv updated 2019/10/24
This paper 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. Neeman's result states a necessary and sufficient condition for Dperf(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.