Showing math.AGShow all
3 papers · 1 filter
math.AG2025
Filtrations and cohomology II: the Gauss-Manin connection
Benjamin Antieau
We use derived methods to study the Gauss-Manin connection in Hochschild homology, infinitesimal cohomology, and derived de Rham cohomology. As applications, we give new approaches…
math.AG2025
Filtrations and cohomology I: crystallization
Benjamin Antieau
We compare several different notions of filtered derived commutative ring, discussing HKR-filtered Hochschild homology, Hodge-filtered de Rham cohomology, and the lesser-known Hodg…
math.AG2025
Report on -descendability
Benjamin Antieau, Germán Stefanich
We introduce the notion of -descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are $\mathbb{E}_\…