English

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

Category Theory 2019-10-24 v1

Abstract

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.

Cite

@article{arxiv.1910.10676,
  title  = {Strong Generators in Dperf(X) for Schemes with a Separator},
  author = {Victor Jatoba},
  journal= {arXiv preprint arXiv:1910.10676},
  year   = {2019}
}
R2 v1 2026-06-23T11:52:50.340Z