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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 400, Pages 20–49
(Mi znsl5610)
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This article is cited in 4 scientific papers (total in 4 papers)
The Hilbert symbol in multi-dimensional local fields for Lubin–Tate formal groups
S. S. Afanas'eva, B. M. Bekker, S. V. Vostokov Saint-Petersburg State University, Saint-Petersburg, Russia
Abstract:
In this paper an explicit formula for the Hilbert pairing between the Milnor $K$-group of a multi-dimensional local field and the multi-dimensional Lubin–Tate formal module is derived. This formula is a generalization of such a formula in one-dimensional case. Here we consider the case, where the penultimate residue field is of characteristic zero.
Key words and phrases:
Lubin–Tate formal groups, Hilbert symbol, multi-dimensional local fields.
Received: 28.11.2011
Citation:
S. S. Afanas'eva, B. M. Bekker, S. V. Vostokov, “The Hilbert symbol in multi-dimensional local fields for Lubin–Tate formal groups”, Problems in the theory of representations of algebras and groups. Part 23, Zap. Nauchn. Sem. POMI, 400, POMI, St. Petersburg, 2012, 20–49; J. Math. Sci. (N. Y.), 192:2 (2013), 137–153
Linking options:
https://www.mathnet.ru/eng/znsl5610 https://www.mathnet.ru/eng/znsl/v400/p20
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Abstract page: | 376 | Full-text PDF : | 102 | References: | 49 |
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