Explicit Computations of Fundamental Classes

2023/02/13 by Nir Elber, Elber, Nir
Mathematics · #11R37 #11S31 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2302.06163

openalex publication_date 2023/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We use the techniques of group cohomology to give explicit computations of the local fundamental class. As an application, we discuss how to compute the Tate canonical class for the extension \mathbb Q(ζ_p^ν)/\mathbb Q, where p^ν is an odd prime power.

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