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