TL;DR
This paper explores Kato's Euler system derived from modular units and examines its image under a modified dual exponential map, offering a new perspective on Kato's reciprocity law.
Contribution
It presents a different presentation of Kato's Euler system and introduces a modified dual exponential map based on Colmez's construction.
Findings
Reformulation of Kato's Euler system from modular units
Introduction of a modified dual exponential map
New insights into Kato's reciprocity law
Abstract
This article is devoted to Kato's Euler system, which is constructed from modular unites, and to its image by the dual exponential map (so called Kato's reciprocity law). The presentation in this article is different form Kato's original one, and dual exponential map in this article is a modification of Colmez's construction in his Bourbaki talk.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory