Higher exponential maps and explicit reciprocity laws I

TL;DR

This paper discusses higher exponential maps and explicit reciprocity laws in number theory, but has been withdrawn and replaced by a more recent version that extends the theory to local fields with imperfect residue fields.

Contribution

It introduces a new approach to higher exponential maps and explicit reciprocity laws, extending previous results to more general local fields.

Findings

Replaced by a more comprehensive version in arXiv:0806.2122

Extends reciprocity laws to imperfect residue fields

Provides explicit formulas for exponential maps

Abstract

This paper has been withdrawn, as it is superseded by arXiv:0806.2122 (Bloch-Kato exponential maps for local fields with imperfect residue fields), which is a more recent version of the same paper.