Cartier modules and cyclotomic spectra
Algebraic Topology
2020-01-14 v2 Algebraic Geometry
K-Theory and Homology
Abstract
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.
Cite
@article{arxiv.1809.01714,
title = {Cartier modules and cyclotomic spectra},
author = {Benjamin Antieau and Thomas Nikolaus},
journal= {arXiv preprint arXiv:1809.01714},
year = {2020}
}
Comments
Final version; to appear in J. AMS