# Zero-cycle groups on algebraic varieties

@article{Binda2021ZerocycleGO,
title={Zero-cycle groups on algebraic varieties},
author={Federico Binda and Amalendu Krishna},
journal={Journal de l’{\'E}cole polytechnique — Math{\'e}matiques},
year={2021}
}
• Published 16 April 2021
• Mathematics
• Journal de l’École polytechnique — Mathématiques
We compare various groups of 0-cycles on quasi-projective varieties over a field. As applications, we show that for certain singular projective varieties, the Levine-Weibel Chow group of 0-cycles coincides with the corresponding Friedlander-Voevodsky motivic cohomology. We also show that over an algebraically closed field of positive characteristic, the Chow group of 0-cycles with modulus on a smooth projective variety with respect to a reduced divisor coincides with the Suslin homology of the…
6 Citations

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