THE HILBERT SYMBOL IN HIGHER-DIMENSIONAL LOCAL FIELDS FOR FORMAL LUBIN-TATE GROUPS. Ⅱ

摘要

In this paper, an explicit formula for the Hilbert pairing between the Milnor K-group of a higher-dimensional local field and the higher-dimensional formal Lubin-Tate module is derived. This formula is a generalization of such a formula in the one-dimensional case. Here we consider the case of characteristic p ＞ 0 of the penultimate residue field. Bibliography: 9 titles.