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arXiv · 1807.03365

Affine representability results in A^1-homotopy theory III: finite fields and complements

Aravind Asok·Marc Hoyois·Matthias Wendt
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Abstract

We give a streamlined proof of ${\mathbb A}^1$-representability for $G$-torsors under "isotropic" reductive groups, extending previous results in this sequence of papers to finite fields. We then analyze a collection of group homomorphisms that yield fiber sequences in ${\mathbb A}^1$-homotopy theory, and identify the final examples of motivic spheres that arise as homogeneous spaces for reductive groups.

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Aravind Asok, Marc Hoyois, Matthias Wendt. 2018-07-09. Affine representability results in A^1-homotopy theory III: finite fields and complements. https://arxiv.org/abs/1807.03365

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