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April 2015 Local epsilon isomorphisms
David Loeffler, Otmar Venjakob, Sarah Livia Zerbes
Kyoto J. Math. 55(1): 63-127 (April 2015). DOI: 10.1215/21562261-2848124


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 Qp, 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 2-variable version of the Perrin-Riou regulator map constructed by the first and third authors.


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David Loeffler. Otmar Venjakob. Sarah Livia Zerbes. "Local epsilon isomorphisms." Kyoto J. Math. 55 (1) 63 - 127, April 2015.


Published: April 2015
First available in Project Euclid: 13 March 2015

zbMATH: 1322.11112
MathSciNet: MR3323528
Digital Object Identifier: 10.1215/21562261-2848124

Primary: 11R23
Secondary: 11S40

Rights: Copyright © 2015 Kyoto University


Vol.55 • No. 1 • April 2015
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