@MISC{Hovey_localcohomology, author = {Mark Hovey and Neil Strickland}, title = {LOCAL COHOMOLOGY OF BP∗BP-COMODULES}, year = {} }

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Abstract

Abstract. Given a spectrum X, we construct a spectral sequence of BP∗BP-comodules that converges to BP∗(LnX), where LnX is the Bousfield localization of X with respect to the Johnson-Wilson theory E(n)∗. The E2-term of this spectral sequence consists of the derived functors of an algebraic version of Ln. We show how to calculate these derived functors, which are closely related to local cohomology of BP∗-modules with respect to the ideal In+1.