Geometric retract rationality of norm varieties

Publikation: Arbeitspapier/Preprint › Preprint

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  • Stefan Schreieder

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OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 3 Feb. 2023

Abstract

Let \(k\) be a field of characteristic zero. We show that the norm variety associated to a symbol \(\alpha\in K^M_n(k)/\ell\) in Milnor K-theory modulo \(\ell\) is geometrically retract rational for any prime \(\ell\). 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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Geometric retract rationality of norm varieties. / Schreieder, Stefan.
2023.

Publikation: Arbeitspapier/Preprint › Preprint

Schreieder, S. (2023). Geometric retract rationality of norm varieties. Vorabveröffentlichung online. https://arxiv.org/abs/2302.01598
Schreieder S. Geometric retract rationality of norm varieties. 2023 Feb 3. Epub 2023 Feb 3.
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