Email this article Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II
- Authors: Vostokov S.V.1, Volkov V.V.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 222, No 4 (2017)
- Pages: 394-403
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239215
- DOI: https://doi.org/10.1007/s10958-017-3310-y
- ID: 239215
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Abstract
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.
About the authors
S. V. Vostokov
St.Petersburg State University
Author for correspondence.
Email: sergey.vostokov@gmail.com
Russian Federation, St.Petersburg
V. V. Volkov
St.Petersburg State University
Email: sergey.vostokov@gmail.com
Russian Federation, St.Petersburg
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