2020/03/12 by Jean-François Jaulent, Jaulent, Jean-François
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2003.05768
openalex publication_date 2020/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For any odd prime number ℓ and any abelian number field F containing the ℓ-th roots of unity, we show that the Stickelberger ideal annihilates the imaginary component of the ℓ-group of logarithmic classes and that its reflection annihilates the real componen of the Bertrandias-Payan module. As a consequence we obtain a very simple proof of annihilation results for the so-called wild étale ℓ-kernels of F .