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arXiv · 2302.01598

Geometric retract rationality of norm varieties

Stefan Schreieder
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Abstract

Let k be a field of characteristic zero. We show that the norm variety associated to a prime $\ell$ and an ordered sequence of invertible elements of k is geometrically retract rational. This generalizes a recent result of Balwe-Hogadi-Sawant, where geometric $\mathbb A^1$-connectedness (an a priori weaker notion) had been proven.

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Stefan Schreieder. 2023-02-03. Geometric retract rationality of norm varieties. https://arxiv.org/abs/2302.01598

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