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Loeffler, David, Venjakob, Otmar and Zerbes, Sarah Livia (2015) Local epsilon isomorphisms. Kyoto Journal of Mathematics, 55 (1). pp. 63-127. doi:10.1215/21562261-2848124 ISSN 2154-3321.
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Official URL: http://dx.doi.org/10.1215/21562261-2848124
Abstract
In this paper, we prove the “local ε-isomorphism” conjecture of Fukaya and Kato for a particular class of Galois modules, obtained by interpolating the twists of a fixed crystalline representation of GQp by a family of characters of GQp . This can be regarded as a local analogue of the Iwasawa main conjecture for abelian p-adic Lie extensions of Q p , extending earlier work of Kato for rank one modules, and of Benois and Berger for the cyclotomic extension. We show that such an ε-isomorphism can be constructed using the the 2-variable version of the Perrin-Riou regulator map constructed by the first and third authors.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Isomorphisms (Mathematics), Galois modules (Algebra) | ||||||||
Journal or Publication Title: | Kyoto Journal of Mathematics | ||||||||
Publisher: | Duke University Press | ||||||||
ISSN: | 2154-3321 | ||||||||
Official Date: | April 2015 | ||||||||
Dates: |
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Volume: | 55 | ||||||||
Number: | 1 | ||||||||
Number of Pages: | 53 | ||||||||
Page Range: | pp. 63-127 | ||||||||
DOI: | 10.1215/21562261-2848124 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | Kyoto University | ||||||||
Date of first compliant deposit: | 26 January 2016 | ||||||||
Date of first compliant Open Access: | 26 January 2016 | ||||||||
Funder: | Royal Society (Great Britain), European Research Council (ERC), Engineering and Physical Sciences Research Council (EPSRC) | ||||||||
Grant number: | EP/J018716/1 (EPSRC) | ||||||||
Open Access Version: |
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