Hostname: page-component-77f85d65b8-hzqq2 Total loading time: 0 Render date: 2026-04-12T22:50:25.782Z Has data issue: false hasContentIssue false
  • English
  • Français

Local cohomology of ${BP_{*}BP}$-comodules

Published online by Cambridge University Press:  25 February 2005

Mark Hovey  and
Neil Strickland
Mark Hovey
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, CT 06459, USA. E-mail: hovey@member.ams.org
Neil Strickland
Affiliation:
Department of Pure Mathematics, University of Sheffield, Sheffield, S3 7RH, United Kingdom. E-mail: N.P.Strickland@sheffield.ac.uk
Get access

Abstract

Given a spectrum $X$, we construct a spectral sequence of $BP_{*}BP$-comodules that converges to $BP_{*}(L_{n}X)$, where $L_{n}X$ is the Bousfield localization of $X$ with respect to the Johnson–Wilson theory $E(n)_{*}$. The $E_{2}$-term of this spectral sequence consists of the derived functors of an algebraic version of $L_{n}$. We show how to calculate these derived functors, which are closely related to local cohomology of $BP_{*}$-modules with respect to the ideal $I_{n + 1}$.

Keywords

comodulelocalizationderived functorlocal cohomologyBrown–Peterson homologybordism55N2255P6016W30

Information

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 90 , Issue 2 , March 2005 , pp. 521 - 544
Copyright
2005 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable