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One Positive and Two Negative Results for Derived Categories of Algebraic Stacks

Date

2018-01-22

Authors

Hall, Jack
Neeman, Amnon
Rydh, David

Journal Title

Journal ISSN

Volume Title

Publisher

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.

Description

Keywords

derived categories, algebraic stacks

Citation

URI

http://hdl.handle.net/1885/237896

Collections

ANU Research Publications

Source

Journal of the Institute of Mathematics of Jussieu

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

CC BY-NC-ND License

DOI

10.1017/S1474748017000366

Restricted until

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Description
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