The Iwasawa Main Conjecture for elliptic curves at odd supersingular primes

2016/10/31 by Florian Sprung, Sprung, Florian
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1610.10017

arxiv created 2016/10/31 · openalex publication_date 2016/10/31 · arxiv updated 2016/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the Iwasawa main conjecture for elliptic curves at an odd supersingular prime p. Some consequences are the p-parts of the leading term formulas in the Birch and Swinnerton-Dyer conjectures for analytic rank 0 or 1.

Related

• Iwasawa Main Conjecture for Supersingular Elliptic Curves and BSD conjecture
• A formulation for p-adic versions of the Birch and Swinnerton-Dyer conjectures in the supersingular case
• Iwasawa theory for elliptic curves at supersingular primes: A pair of main conjectures
• Iwasawa Main Conjecture for Heegner Points: Supersingular Case
• Iwasawa theory for elliptic curves at supersingular primes over Z_p-extensions of number fields