Auslander–Reiten Sequences, Brown–Comenetz Duality, and the K(n)-local Generating Hypothesis
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In this paper, we construct a version of Auslander–Reiten sequences for the K(n)-local stable homotopy category. In particular, the role of the Auslander–Reiten translation is played by the local Brown–Comenetz duality functor. As an application, we produce counterexamples to the K(n)-local generating hypothesis for all heights n > 0 and all primes. Furthermore, our methods apply to other triangulated categories, as for example the derived category of quasi-coherent sheaves on a smooth projective scheme.
Originalsprog | Engelsk |
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Tidsskrift | Algebras and Representation Theory |
Vol/bind | 20 |
Udgave nummer | 3 |
Sider (fra-til) | 569-581 |
Antal sider | 13 |
ISSN | 1386-923X |
DOI | |
Status | Udgivet - 1 jun. 2017 |
Links
- http://arxiv.org/pdf/1603.09181
Indsendt manuskript
ID: 178793493