2 papers
math.AG2025
Categorification of the localized intersection product and Bloch conductor formula
Dario Beraldo, Massimo Pippi
We categorify the localized intersection product on arithmetic schemes defined by Kato--Saito in \cite{katosaito04}. As an application, we prove a generalization of Bloch conductor…
math.AG2024
Coherent sheaves, sheared D-modules, and Hochschild cochains
Dario Beraldo, Kevin Lin, Wyatt Reeves
We show that the category of ind-coherent sheaves on a quasi-smooth scheme is naturally tensored over the category of sheared D-modules on its shifted cotangent bundle, commuting w…