Barthel, Tobias and Hausmann, Markus and Naumann, Niko and Nikolaus, Thomas and Noel, Justin and Stapleton, Nathaniel (2019) The Balmer spectrum of the equivariant homotopy category of a finite abelian group. INVENTIONES MATHEMATICAE, 216 (1). pp. 215-240. ISSN 0020-9910, 1432-1297
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For a finite abelian group A, we determine the Balmer spectrum of SpA, the compact objects in genuine A-spectra. This generalizes the case A=Z/pZ due to Balmer and Sanders (Invent Math 208(1):283-326, 2017), by establishing (a corrected version of) their logp-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn's blue-shift theorem for Tate-constructions (Kuhn in Invent Math 157(2):345-370, 2004).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Apr 2020 04:51 |
| Last Modified: | 20 Apr 2020 04:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27254 |
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