Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part I, section 9, pages 91-94

Exponential maps and explicit formulas

M. Kurihara

Abstract. An exponential homomorphism for a complete discrete valuation field of characteristic zero which relates differential forms and the Milnor K-groups of the field is studied. An application to explicit formulas is included.
Keywords. Exponential homomorphism, complete discrete valuation fields, differential forms, Milnor K-groups.
AMS subject classification. 13N05, 19D99.

E-print: arXiv:math.NT/0012140

Masato Kurihara
Department of mathematics, Tokyo Metropolitan University, Minami-Osawa 1-1, Hachioji, Tokyo 192-03, Japan

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