Anticyclotomic Euler Systems for CM fields

2025/08/07 by Y.‐J. Lee, Lee, Yu-Sheng
Engineering · Materials Science · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Solidification and crystal growth phenomena

paper · pdf · doi:10.48550/arxiv.2508.05861

openalex publication_date 2025/08/07 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

Let K/F be a CM extension satisfying the ordinary assumption for an odd prime p and let ψ be a finite order anticyclotomic Hecke character of K. When K has a place above p of degree one, we apply Urban's method and the results from our previous work to construct an anticyclotomic Euler system for ψ under minor assumptions and prove one side o the divisibility of the anticyclotomic Iwasawa main conjecture for ψ when p is inverted.

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