On the Mazur--Tate refined conjecture for the anticyclotomic tower at inert primes

2025/03/12 by Ryota Shii, Shii, Ryota
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2503.09034

openalex publication_date 2025/03/12 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

Let E be an elliptic curve defined over ℚ with supersingular reduction at p ≥ 5, and K be an imaginary quadratic field such that p is inert in K/ℚ. In this paper, we prove the analogous of the ``weak'' Mazur--Tate refined conjecture for an anticyclotomic tower over K using the result by A. Burungale--K. Büyükboduk--A. Lei.

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