Gupta, Rahul and Krishna, Amalendu and Rathore, Jitendra (2024) A decomposition theorem for 0-cycles and applications. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 25 (1). pp. 449-482. ISSN 0391-173X, 2036-2145
Full text not available from this repository. (Request a copy)Abstract
We prove a decomposition theorem for the cohomological Chow group of 0 -cycles on the double of a quasi-projective R-1-scheme over a field along a closed subscheme, in terms of the Chow groups, with and without modulus, of the scheme. This yields a significant generalization of the decomposition theorem of Binda-Krishna. As applications, we prove a moving lemma for Chow groups with modulus and an analogue of Bloch's formula for 0-cycles with modulus on singular surfaces. The latter extends a previous result of Binda-KrishnaSaito.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ZERO-CYCLES; K-THEORY; MODULUS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Moritz Kerz |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Sep 2025 08:20 |
| Last Modified: | 03 Sep 2025 08:20 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64072 |
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