@article{e6a6efb94cec4a179443fe4cb2821b16,
title = "ONE POSITIVE and TWO NEGATIVE RESULTS for DERIVED CATEGORIES of ALGEBRAIC STACKS",
abstract = "Let 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.",
keywords = "algebraic stacks, derived categories",
author = "Jack Hall and Amnon Neeman and David Rydh",
note = "Funding Information: The first and second author are supported by the Australian Research Council (ARC), grant numbers FL100100137, DE150101799, and DP150102313. The third author is supported by the Swedish Research Council (VR), grant numbers 2011-5599 and 2015-05554. We wish to thank Bhargav Bhatt and Jacob Lurie for answering some questions and Peter O'Sullivan for providing a reference. We are also indebted to the reviewer for a number of useful comments and suggestions. Publisher Copyright: {\textcopyright} 2018 Cambridge University Press.",
year = "2019",
month = sep,
day = "1",
doi = "10.1017/S1474748017000366",
language = "English (US)",
volume = "18",
pages = "1087--1111",
journal = "Journal of the Institute of Mathematics of Jussieu",
issn = "1474-7480",
publisher = "Cambridge University Press",
number = "5",
}