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arXiv · 2011.14001

On geometry of some pseudo-reductive groups

Alexandre Lourdeaux
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Abstract

Based on the work of Conrad-Gabber-Prasad, the paper deals with the geometry of particular pseudo-semisimple groups, namely those which can be written as quotient of Weil restriction of semisimple groups. We establish that these groups are retract rational when their are split, and give results on their Picard groups.

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Alexandre Lourdeaux. 2020-11-27. On geometry of some pseudo-reductive groups. https://arxiv.org/abs/2011.14001

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