3 papers
math.AG2024
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…
math.AG2024
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…
math.AG2024
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…