Lannes’s T–functor and equivariant Chow rings

Hemminger, David

doi:10.2140/agt.2021.21.1881

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

Lannes's $T$–functor and equivariant Chow rings

David Hemminger

Algebraic & Geometric Topology 21 (2021) 1881–1910

DOI: 10.2140/agt.2021.21.1881

Abstract

For $X$ a smooth scheme acted on by a linear algebraic group $G$ and $p$ a prime, the equivariant Chow ring ${CH}_{G}^{*} (X) \otimes 𝔽_{p}$ is an unstable algebra over the Steenrod algebra. We compute Lannes’s $T$ –functor applied to ${CH}_{G}^{*} (X) \otimes 𝔽_{p}$ . As an application, we compute the localization of ${CH}_{G}^{*} (X) \otimes 𝔽_{p}$ away from $n$ –nilpotent modules over the Steenrod algebra, affirming a conjecture of Totaro as a special case. The case when $X$ is a point and $n = 1$ generalizes and recovers an algebrogeometric version of Quillen’s stratification theorem proved by Yagita and Totaro.

PDF Access Denied

We have not been able to recognize your IP address 18.191.84.32 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

Chow ring, equivariant Chow ring, group cohomology, Steenrod algebra, unstable modules, unstable algebras, $T$–functor

Mathematical Subject Classification 2010

Primary: 14C15, 55S10

Secondary: 14L30, 55N91

References

Publication

Received: 16 December 2019

Revised: 23 June 2020

Accepted: 24 August 2020

Published: 18 August 2021

Authors

David Hemminger
Department of Mathematics University of California, Los Angeles Los Angeles, CA United States

Volume 21, issue 4 (2021)