Reciprocity laws \`a la Iwasawa-Wiles
Francesc Bars, Ignazio Longhi
TL;DR
This paper surveys explicit reciprocity laws related to the Kummer pairing on local fields, highlighting developments inspired by Iwasawa and Wiles in number theory.
Contribution
It provides a concise overview of the explicit reciprocity laws of Artin-Hasse-Iwasawa-Wiles type for local fields.
Findings
Summarizes key reciprocity laws in local class field theory.
Highlights connections between Kummer pairing and explicit reciprocity laws.
Provides insights into the historical development of the subject.
Abstract
This paper is a brief survey on explicit reciprocity laws of Artin-Hasse-Iwasawa-Wiles type for the Kummer pairing on local fields.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Analytic Number Theory Research