Filtrations and cohomology I: crystallization
Algebraic Geometry
2025-11-04 v1 Algebraic Topology
Abstract
We compare several different notions of filtered derived commutative ring, discussing HKR-filtered Hochschild homology, Hodge-filtered de Rham cohomology, and the lesser-known Hodge-filtered infinitesimal cohomology. Our main result is that de Rham cohomology is the crystallization of infinitesimal cohomology.
Cite
@article{arxiv.2511.01567,
title = {Filtrations and cohomology I: crystallization},
author = {Benjamin Antieau},
journal= {arXiv preprint arXiv:2511.01567},
year = {2025}
}