The local equivariant Tamagawa number conjecture for almost abelian extensions

2013/07/09 by Jennifer Johnson-Leung, Jennifer Johnson­-Leung, Johnson-Leung, Jennifer · 1 citation
Mathematics · #11G40 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11G40

paper · pdf · doi:10.48550/arxiv.1307.2607

arxiv created 2013/07/09 · openalex publication_date 2013/07/09 · arxiv updated 2013/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the local equivariant Tamagawa number conjecture for the motive of an abelian extension of an imaginary quadratic field with the action of the Galois group ring for all split primes p not equal to 2 or 3 at all negative integer values s.

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