ONE POSITIVE AND TWO NEGATIVE RESULTS FOR DERIVED CATEGORIES OF ALGEBRAIC STACKS
AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherCAMBRIDGE UNIV PRESS
CitationHall, J., Neeman, A., & Rydh, D. (2019). ONE POSITIVE AND TWO NEGATIVE RESULTS FOR DERIVED CATEGORIES OF ALGEBRAIC STACKS. Journal of the Institute of Mathematics of Jussieu, 18(5), 1087-1111. doi:10.1017/S1474748017000366
Rights© Cambridge University Press 2018
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AbstractLet X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts about the unbounded derived category of X: (1) D-qc(X) is compactly generated by perfect complexes and (2) if X is noetherian or has affine diagonal, then the functor : Psi(X): D(QCoh(X)) -> D-qc (X) is an equivalence. Our main results are that for algebraic stacks in positive characteristic, the assertions (1) and (2) are typically false.
Note6 month embargo; published online: 22 January 2018
VersionFinal accepted manuscript
SponsorsAustralian Research Council (ARC) [FL100100137, DE150101799, DP150102313]; Swedish Research Council (VR) [2011-5599, 2015-05554]