#### Vol. 296, No. 2, 2018

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On the Chow ring of the stack of truncated Barsotti–Tate groups

### Dennis Brokemper

Vol. 296 (2018), No. 2, 271–303
##### Abstract

We determine the Chow ring of the stack of truncated displays and more generally the Chow ring of the stack of $G$-zips. We also investigate the pullback morphism of the truncated display functor. From this we can determine the Chow ring of the stack of truncated Barsotti–Tate groups over a field of characteristic $p$ up to $p$-torsion.

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equivariant Chow groups, Barsotti–Tate groups, displays, $G$-zips