Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II

Journal of Mathematical Sciences(2017)

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摘要
The paper presents an explicit formula for the Hilbert pairing between the Milnor K-group of a higher-dimensional local field and a polynomial formal module. This formula generalizes similar results for the one-dimensional case and the higher-dimensional case of multiplicative group. The case where the field and its first residue field have different characteristics, is considered. Bibliography: 13 titles.
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关键词
multidimensional local field,polynomial formal module,hilbert symbol,explicit form
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