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arXiv · 2112.13604

Pathologies du groupe des classes de R-\'equivalence d'un groupe alg\'ebrique lin\'eaire

Federico Scavia
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Abstract

Let $k_0$ be a field of characteristic $p>0$ and $k=k_0(t)$, where $t$ is transcendental over $k_0$. We give an example of a smooth connected unipotent $k$-group $G$ such that $G(F)/R$ is non-commutative for some finite separable field extension $F$ containing $k$.

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Federico Scavia. 2021-12-27. Pathologies du groupe des classes de R-\'equivalence d'un groupe alg\'ebrique lin\'eaire. https://arxiv.org/abs/2112.13604

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