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This article is cited in 5 scientific papers (total in 5 papers)
An explicit formula for the Hilbert symbol for Honda
groups in a multidimensional local field
S. V. Vostokova, F. Lorenzb a Saint-Petersburg State University
b Westfälische Wilhelms-Universität Münster
Abstract:
Based on the pairing on Cartier curves
explicitly constructed in the previous paper of the authors, an explicit formula for the Hilbert symbol is constructed in a multidimensional local field of
characteristic zero with residue field of positive
characteristic on the formal module of a one-dimensional
Honda formal group. In the proof a Shafarevich basis
on the formal module is constructed, and so-called integer
$\mu$-modules in two-dimensional local
rings of a special form ( $\mu$-rings) are studied.
Received: 04.06.2002
Citation:
S. V. Vostokov, F. Lorenz, “An explicit formula for the Hilbert symbol for Honda
groups in a multidimensional local field”, Mat. Sb., 194:2 (2003), 3–36; Sb. Math., 194:2 (2003), 165–197
Linking options:
https://www.mathnet.ru/eng/sm711https://doi.org/10.1070/SM2003v194n02ABEH000711 https://www.mathnet.ru/eng/sm/v194/i2/p3
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Abstract page: | 449 | Russian version PDF: | 232 | English version PDF: | 5 | References: | 57 | First page: | 2 |
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