Massey products in Galois cohomology and Pythagorean fields

2023/12/13 by Claudio Quadrelli, Quadrelli, Claudio · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.2312.07967

Abstract

We prove that a strengthened version of Minac-Tan's Massey Vanishing Conjecture holds true for fields with a finite number of square classes whose maximal pro-2 Galois group is of elementary type (as defined by I. Efrat). In particular, this proves Minac-Tan's Massey Vanishing Conjecture for Pythagorean fields with a finite number of square classes and their finite extensions.

Cited by

• Maximal 2-extensions of Pythagorean fields and Right Angled Artin Groups

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