The Noether problem for spinor groups of small rank

Zinovy Reichstein; Federico Scavia

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arXiv · 1906.03278

The Noether problem for spinor groups of small rank

Zinovy Reichstein·Federico Scavia

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Abstract

Building on prior work of Bogomolov, Garibaldi, Guralnick, Igusa, Kordonskii, Merkurjev and others, we show that the Noether Problem for $\operatorname{Spin}_n$ has a positive solution for every $n\leq 14$ over an arbitrary field of characteristic $\neq 2$.

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Zinovy Reichstein, Federico Scavia. 2019-12-24. The Noether problem for spinor groups of small rank. https://arxiv.org/abs/1906.03278

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