Poitou-Tate Duality for totally positive Galois cohomology

2021/10/26 by H. Asensouyis, J. Assim, Asensouyis, H. +5
Mathematics · #11R34 #12G05 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2110.13963

openalex publication_date 2021/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish a Poitou-Tate's global duality for totally positive Galois cohomology. We illustrate this result in the case of the twisted module "à la Tate" ℤ₂(i), i integer.

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