One Positive and Two Negative Results for Derived Categories of Algebraic Stacks
Date
2018-01-22
Authors
Hall, Jack
Neeman, Amnon
Rydh, David
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Cambridge University Press
Abstract
Let X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts about the unbounded derived category of X: (1) Dqc(X) is compactly generated by perfect complexes and (2) if X is noetherian or has affine diagonal, then the functor ΨX:D(QCoh(X))→Dqc(X) is an equivalence. Our main results are that for algebraic stacks in positive characteristic, the assertions (1) and (2) are typically false.
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Keywords
derived categories, algebraic stacks
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Source
Journal of the Institute of Mathematics of Jussieu
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Journal article
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Open Access
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CC BY-NC-ND License
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Author Accepted Manuscript