Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Cartier modules and cyclotomic spectra


Antieau,  Benjamin
Max Planck Institute for Mathematics, Max Planck Society;


Nikolaus,  Thomas
Max Planck Institute for Mathematics, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available

Antieau, B., & Nikolaus, T. (2021). Cartier modules and cyclotomic spectra. Journal of the American Mathematical Society, 34(1), 1-78. doi:10.1090/jams/951.

Cite as: https://hdl.handle.net/21.11116/0000-0008-021D-6
We construct and study a t-structure on p-typical cyclotomic spectra and explain how to recover crystalline cohomology of smooth schemes over perfect fields using this t-structure. Our main tool is a new approach to p-typical cyclotomic spectra via objects we call p-typical topological Cartier modules. Using these, we prove that the heart of the cyclotomic t-structure is the full subcategory of derived V-complete objects in the abelian category of p-typical Cartier modules.