Affine representability results in A(1)-homotopy theory III: Finite fields and complements

Asok, Aravind and Hoyois, Marc and Wendt, Matthias (2020) Affine representability results in A(1)-homotopy theory III: Finite fields and complements. ALGEBRAIC GEOMETRY, 7 (5). pp. 634-644. ISSN 2313-1691, 2214-2584

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Abstract

We give a streamlined proof of 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 A(1)-homotopy theory, and identify the final examples of motivic spheres that arise as homogeneous spaces for reductive groups.

Item Type: Article
Uncontrolled Keywords: PRINCIPAL BUNDLES; ALGEBRAS; SPACES; torsors; algebraic groups; motivic homotopy theory
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Mar 2021 12:39
Last Modified: 15 Mar 2021 12:39
URI: https://pred.uni-regensburg.de/id/eprint/43961

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