The Balmer spectrum of the equivariant homotopy category of a finite abelian group
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For a finite abelian group A, we determine the Balmer spectrum of 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 log_p -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)
Original language | English |
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Journal | Inventiones Mathematicae |
Volume | 216 |
Pages (from-to) | 215–240 |
Number of pages | 26 |
ISSN | 0020-9910 |
DOIs | |
Publication status | Published - 2019 |
Links
- https://arxiv.org/pdf/1709.04828
Accepted author manuscript
ID: 211219206