The zeta Functions of Moduli Stacks of $G$-Zips and Moduli Stacks of Truncated Barsotti--Tate Groups

Research output: Contribution to journalArticleAcademicpeer-review

3 Downloads (Pure)

Abstract

We study stacks of truncated Barsotti-Tate groups and the G-zips defined by Pink, Wedhorn \& Ziegler. The latter occur naturally when studying truncated Barsotti--Tate groups of height 1 with additional structure. By studying objects over finite fields and their automorphisms we determine the zeta functions of these stacks. These zeta functions can be expressed in terms of the Weyl group of the reductive group G and its action on the root system. The main ingredients are the classification of G-zips over algebraically closed fields and their automorphism groups by Pink, Wedhorn & Ziegler, and the study of truncated Barsotti-Tate groups and their automorphism groups by Gabber & Vasiu.
Original languageEnglish
JournalDocumenta Mathematica
Volume23
DOIs
Publication statusPublished - 30 Nov 2018
Externally publishedYes

Fingerprint

Dive into the research topics of 'The zeta Functions of Moduli Stacks of $G$-Zips and Moduli Stacks of Truncated Barsotti--Tate Groups'. Together they form a unique fingerprint.

Cite this