1 citations · 1 across the 8 of their papers we have counts for
9 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…
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 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…
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…
Étale tame vanishing cycles over
Denis-Charles Cisinski, Massimo Pippi
We develop a theory of tame vanishing cycles for schemes over in the context of étale sheaves. We show some desired properties of this formali…
On some (co)homological invariants of coherent matrix factorizations
Massimo Pippi
We provide an equivalence between the dg category of coherent matrix factorizations and a certain dg category of absolute singularities. As an application, we compute the l-adic co…
Motivic and -adic realizations of the category of singularities of the zero locus of a global section of a vector bundle
Massimo Pippi
We study the motivic and -adic realizations of the dg category of singularities of the zero locus of a global section of a line bundle over a regular scheme. We will then use…
On the structure of dg categories of relative singularities
Massimo Pippi
In this paper we show that every object in the dg category of relative singularities Sing associated to a pair , where is a ring and $\und…
Proper base change over henselian pairs
Massimo Pippi
We discuss a question which appears in [Séminaire de Géométrie Algébrique du Bous Marie- Théorie des topos et cohomologie étale des schémas, Exposé XII, Remarks 6.13] concerning pr…