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Chow rings of quasi-split geometrically almost simple algebraic groups

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arxiv 2408.09390 v2 pith:37EA2FSU submitted 2024-08-18 math.AG math.ATmath.KT

Alexey Ananyevskiy , Nikita Geldhauser This is my paper · ORCID
classification math.AGmath.ATmath.KT
keywords quasi-splitchowgroupsalgebraicalmostgeometricallyringssimple
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We compute the Chow ring of a quasi-split geometrically almost simple algebraic group assuming the coefficients to be a field. This extends the classical computation for split groups done by Kac to the non-split quasi-split case. For the proof we introduce and study equivariant conormed Chow rings, which are well adapted to the study of quasi-split groups and their homogeneous varieties.

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Cited by 1 Pith paper

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  1. On the K-theory of algebraic tori

    math.KT 2025-07 conditional novelty 8.0 of 10

    Algebraic K-theory of a torus is naturally equivalent to the Galois-equivariant homology of its character-lattice torus with equivariant K-theory coefficients.

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