Local Cohomology of BP*BP-Comodules |
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| Authors: | Hovey Mark; Strickland Neil |
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| Institution: | Department of Mathematics, Wesleyan University Middletown, CT 06459, USA. E-mail: hovey{at}member.ams.org
Department of Pure Mathematics, University of Sheffield Sheffield, S3 7RH, United Kingdom. E-mail: N.P.Strickland{at}sheffield.ac.uk |
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| Abstract: | Given a spectrum X, we construct a spectral sequence of BP*BP-comodulesthat converges to BP*(LnX), where LnX is the Bousfield localizationof X with respect to the Johnson–Wilson theory E(n)*.The E2-term of this spectral sequence consists of the derivedfunctors of an algebraic version of Ln. We show how to calculatethese derived functors, which are closely related to local cohomologyof BP*-modules with respect to the ideal In+1. 2000 MathematicsSubject Classification 55N22, 55P60, 16W30. |
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| Keywords: | comodule localization derived functor local cohomology Brown– Peterson homology bordism |
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