Article ID Journal Published Year Pages File Type
8897647 Journal of Pure and Applied Algebra 2018 29 Pages PDF
Abstract
We use the abstract framework constructed in our earlier paper [8] to study local duality for Noetherian E∞-ring spectra. In particular, we compute the local cohomology of relative dualizing modules for finite morphisms of ring spectra, thereby generalizing the local duality theorem of Benson and Greenlees. We then explain how our results apply to the modular representation theory of compact Lie groups and finite group schemes, which recovers the theory previously developed by Benson, Iyengar, Krause, and Pevtsova.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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