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

 Recent Issues Vol. 297: 1 Vol. 296: 1  2 Vol. 295: 1  2 Vol. 294: 1  2 Vol. 293: 1  2 Vol. 292: 1  2 Vol. 291: 1  2 Vol. 290: 1  2 Online Archive Volume: Issue:
 The Journal Subscriptions Editorial Board Officers Special Issues Submission Guidelines Submission Form Contacts Author Index To Appear ISSN: 0030-8730 Other MSP Journals
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.

##### Keywords
equivariant Chow groups, Barsotti–Tate groups, displays, $G$-zips
Primary: 14C15