Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897647 | Journal of Pure and Applied Algebra | 2018 | 29 Pages |
Abstract
We use the abstract framework constructed in our earlier paper [8] to study local duality for Noetherian Eâ-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
Authors
Tobias Barthel, Drew Heard, Gabriel Valenzuela,