4 papers
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…
Non-commutative nature of -adic vanishing cycles
Dario Beraldo, Massimo Pippi
Let be a flat, proper and regular scheme over a strictly henselian discrete valuation ring. We prove that the singularity category of the special fiber with its…
Proof of the Deligne-Milnor conjecture
Dario Beraldo, Massimo Pippi
We apply methods of derived and non-commutative algebraic geometry to understand ramification phenomena on arithmetic schemes. As an application, we prove the Deligne-Milnor conjec…
Non-commutative intersection theory and unipotent Deligne-Milnor formula
Dario Beraldo, Massimo Pippi
We apply methods of derived and non-commutative algebraic geometry to understand intersection theoretic phenomena on arithmetic schemes. Specifically, we categorify Bloch's interse…