The Balmer spectrum of the equivariant homotopy category of a finite abelian group View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

Tobias Barthel, Markus Hausmann, Niko Naumann, Thomas Nikolaus, Justin Noel, Nathaniel Stapleton

ABSTRACT

For a finite abelian group A, we determine the Balmer spectrum of SpAω, 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). More... »

PAGES

1-26

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00222-018-0846-5

DOI

http://dx.doi.org/10.1007/s00222-018-0846-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1110668254


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