Non-commutative intersection theory and unipotent Deligne-Milnor formula
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909333284978688 |
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| author | Beraldo, Dario Pippi, Massimo |
| author_facet | Beraldo, Dario Pippi, Massimo |
| contents | 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 Toën--Vezzosi's non-commutative Chern character, we obtain a generalization of Bloch conductor conjecture in several new cases, including the unipotent Deligne--Milnor formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_11717 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-commutative intersection theory and unipotent Deligne-Milnor formula Beraldo, Dario Pippi, Massimo Algebraic Geometry 14B07, 13D09, 14F42, 11F80, 32S30 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 Toën--Vezzosi's non-commutative Chern character, we obtain a generalization of Bloch conductor conjecture in several new cases, including the unipotent Deligne--Milnor formula. |
| title | Non-commutative intersection theory and unipotent Deligne-Milnor formula |
| topic | Algebraic Geometry 14B07, 13D09, 14F42, 11F80, 32S30 |
| url | https://arxiv.org/abs/2211.11717 |