A decomposition theorem for 0-cycles and applications

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
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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