A decomposition theorem for 0-cycles and applications
Algebraic Geometry
2022-07-25 v2
Abstract
We prove a decomposition theorem for the cohomological Chow group of 0-cycles on the double of a quasi-projective -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.
Cite
@article{arxiv.2109.10037,
title = {A decomposition theorem for 0-cycles and applications},
author = {Rahul Gupta and Amalendu Krishna and Jitendra Rathore},
journal= {arXiv preprint arXiv:2109.10037},
year = {2022}
}
Comments
25 pages. Final version. Title and abstract changed. Sections 6 and 7 have been removed and will appear as a separate paper. To appear in Annali della Scuola Normale Superiore di Pisa