The arithmetic of the Lubin–Tate formal module in a multidimensional complete field

Bekker, B.; Vostokov, S.

doi:10.1090/spmj/1363

The arithmetic of the Lubin–Tate formal module in a multidimensional complete field
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by B. M. Bekker and S. V. Vostokov

St. Petersburg Math. J. 26 (2015), 859-865

DOI: https://doi.org/10.1090/spmj/1363

Published electronically: September 21, 2015

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Abstract:

In the first part of the paper devoted to the derivation of an explicit formula for the Hilbert symbol in a complete multidimensional field, primary elements and the Shafarevich basis for Lubin–Tate formal modules are constructed, which is the crucial point in the construction of explicit formulas.

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