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Geometric retract rationality of norm varieties

2023/02/03 by Stefan Schreieder, Schreieder, Stefan
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.2302.01598

Abstract

Let k be a field of characteristic zero. We show that the norm variety associated to a prime ℓ and an ordered sequence of invertible elements of k is geometrically retract rational. This generalizes a recent result of Balwe-Hogadi-Sawant, where geometric \mathbb A1-connectedness (an a priori weaker notion) had been proven.

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