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arXiv · 2211.11717

Non-commutative intersection theory and unipotent Deligne-Milnor formula

Dario Beraldo·Massimo Pippi
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Abstract

We apply methods of derived and non-commutative algebraic geometry to understand intersection theoretic phenomena on arithmetic schemes. Specifically, we categorify Bloch's intersection number (in the formulation provided by Kato--Saito). Combining this with To\"en--Vezzosi's non-commutative Chern character, we obtain a generalization of Bloch conductor conjecture in several new cases, including the unipotent Deligne--Milnor formula.

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Dario Beraldo, Massimo Pippi. 2022-11-21. Non-commutative intersection theory and unipotent Deligne-Milnor formula. https://arxiv.org/abs/2211.11717

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