The local cohomology spectral sequence for topological modular forms

Authors

Robert Bruner, Wayne State UniversityFollow
John Greenlees, University of Warwick, UKFollow
John Rognes, University of Oslo, NorwayFollow

Document Type

Article

Abstract

We discuss proofs of local cohomology theorems for topological modular forms, based on Mahowald–Rezk duality and on Gorenstein duality, and then make the associated local cohomology spectral sequences explicit, including their differential patterns and hidden extensions.

Disciplines

Algebraic Geometry | Geometry and Topology

Comments

© The Authors, first published in Mathematische Zeitschrift (2022) 302 by Springer Nature. R. Bruner ORCID 0000-0001-6699-5184; J. Rognes ORCID 0000-0002-4781-367X

Recommended Citation

Bruner, R., Greenlees, J. & Rognes, J. The local cohomology spectral sequence for topological modular forms. Math. Z. 302, 129–180 (2022). https://doi.org/10.1007/s00209-022-03033-4