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K-theoretic Tate-Poitou duality and the ...

Blumberg, Andrew J....

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K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace by Blumberg, Andrew J. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	31-07-2015
Summary	Let p∈Z be an odd prime. We prove a spectral version of Tate-Poitou duality for the algebraic K-theory spectra of number rings with p inverted. This identifies the homotopy type of the fiber of the cyclotomic trace K(OF)∧p→TC(OF)∧p after taking a suitably connective cover. As an application, we identify the homotopy type at odd primes of the homotopy fiber of the cyclotomic trace for the sphere spectrum in terms of the algebraic K-theory of Z.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	http://arxiv.org/abs/1508.00014

Citation

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AMA 11th EditionReferences

Blumberg, Andrew J.. K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace. N.A. July 31, 2015. Accessed August 18, 2025. https://online.provdatabase.com/cite/18853

APA 7th EditionReferences

Blumberg, Andrew J.. (2015). K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace. N.A. https://online.provdatabase.com/cite/18853

Chicago 17th EditionReferences

Blumberg, Andrew J.. K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace. N.A. 2015. https://online.provdatabase.com/cite/18853

HarvardReferences

Blumberg, Andrew J.. (2015). K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18853. (Accessed 18 August 2025).

Harvard AustraliaReferences

Blumberg, Andrew J., 2015, K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace, N.A, viewed 18 August 2025, <https://online.provdatabase.com/cite/18853>

MLA 9th EditionWorks Cited

Blumberg, Andrew J.. K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18853.

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