Binda, F and Krishna, A and Saito, S (2023) BLOCH’S FORMULA FOR 0-CYCLES WITH MODULUS AND HIGHER-DIMENSIONAL CLASS FIELD THEORY. In: Journal of Algebraic Geometry, 32 (2). pp. 323-384.
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Official URL: https://doi.org/10.1090/jag/792
Abstract
We prove Bloch’s formula for the Chow group of 0-cycles with modulus on a smooth quasi-projective surface over a field. We use this formula to give a simple proof of the rank one case of a conjecture of Deligne and Drinfeld on lisse Qℓ-sheaves. This was originally solved by Kerz and Saito in characteristic ≠ 2.
| Item Type: | Journal Article |
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| Publication: | Journal of Algebraic Geometry |
| Publisher: | American Mathematical Society |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 25 Apr 2023 05:08 |
| Last Modified: | 25 Apr 2023 05:08 |
| URI: | https://eprints.iisc.ac.in/id/eprint/81271 |
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