Gupta, R and Krishna, A and Rathore, J (2024) A decomposition theorem for 0-cycles and applications. In: Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 25 (1). pp. 449-482.
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Abstract
We prove a decomposition theorem for the cohomological Chow group of 0-cycles on the double of a quasi-projective R1-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-Krishna- Saito. © 2024 Scuola Normale Superiore. All rights reserved.
Item Type: | Journal Article |
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Publication: | Annali della Scuola Normale Superiore di Pisa - Classe di Scienze |
Publisher: | Scuola Normale Superiore |
Additional Information: | The copyright for this article belongs to Scuola Normale Superiore. |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 30 Aug 2024 11:15 |
Last Modified: | 30 Aug 2024 11:15 |
URI: | http://eprints.iisc.ac.in/id/eprint/84911 |
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