Note on Chow rings of nontrivial G-torsors over a field

Nobuaki Yagita

doi:10.2996/kmj/1320935552

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Home > Journals > Kodai Math. J. > Volume 34 > Issue 3 > Article

October 2011 Note on Chow rings of nontrivial G-torsors over a field

Nobuaki Yagita

Kodai Math. J. 34(3): 446-463 (October 2011). DOI: 10.2996/kmj/1320935552

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Abstract

Let G_k be a split reductive group over a field k corresponding to a compact Lie group G. Let G_k be a nontrivial G_k-torsor over a field k. In this paper we study the Chow ring of G_k. For example when (G, p) = (G₂, 2), we have the isomorphism CH^*(G_k)₍₂₎ $\cong$ Z₍₂₎.

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Nobuaki Yagita. "Note on Chow rings of nontrivial G-torsors over a field." Kodai Math. J. 34 (3) 446 - 463, October 2011. https://doi.org/10.2996/kmj/1320935552