An archimedian analog of Iwasawa theory
Ken-ichi Sugiyama
TL;DR
The paper develops an archimedean analog of Iwasawa theory to relate conjectures in number theory, including the Mazur-Tate-Teitelbaum and Birch and Swinnerton-Dyer conjectures, proposing a reduction to known cases.
Contribution
It introduces a novel archimedean analog of Iwasawa theory and connects it to major conjectures, offering new approaches to longstanding problems.
Findings
Reduction of Mazur-Tate-Teitelbaum conjecture to known cases
Development of an archimedean analog of Iwasawa theory
Discussion of implications for Birch and Swinnerton-Dyer conjecture
Abstract
We will show a conjecture which reduces Mazur-Tate-Teitelbaum conjecture to the known cases. In order to explain its background we will develop an archimedian analog of Iwasawa theory. Moreover consequences of the conjecture which are related to Birch and Swinnerton-Dyer conjecture will be discussed.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Algebra and Geometry