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

Dennis Brokemper

Vol. 296 (2018), No. 2, 271–303

DOI: 10.2140/pjm.2018.296.271

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

Mathematical Subject Classification 2010

Primary: 14C15

Milestones

Received: 2 February 2018

Revised: 16 April 2018

Accepted: 18 April 2018

Published: 16 July 2018