Barthel, Tobias and Heard, Drew and Valenzuela, Gabriel (2020) Derived completion for comodules. MANUSCRIPTA MATHEMATICA, 161 (3-4). pp. 409-438. ISSN 0025-2611, 1432-1785
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The objective of this paper is to introduce and study completions and local homology of comodules over Hopf algebroids, extending previous work of Greenlees and May in the discrete case. In particular, we relate module-theoretic to comodule-theoretic completion, construct various local homology spectral sequences, and derive a tilting-theoretic interpretation of local duality for modules. Our results translate to quasi-coherent sheaves over global quotient stacks and feed into a novel approach to the chromatic splitting conjecture.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LOCAL COHOMOLOGY; HOMOLOGY; MODULES; 55P60 (13D45; 14B15; 55U35) |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Mar 2021 07:12 |
| Last Modified: | 30 Mar 2021 07:12 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45052 |
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