Chow groups of one-dimensional noetherian domains

M. Kirschmer, J. Klüners, Research in Number Theory 10 (2024).

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Journal Article | Published | English
Abstract
We discuss various connections between ideal classes, divisors, Picard and Chow groups of one-dimensional noetherian domains. As a result of these, we give a method to compute Chow groups of orders in global fields and show that there are infinitely many number fields which contain orders with trivial Chow groups.
Publishing Year
Journal Title
Research in Number Theory
Volume
10
Issue
4
Article Number
89
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Kirschmer M, Klüners J. Chow groups of one-dimensional noetherian domains. Research in Number Theory. 2024;10(4). doi:10.1007/s40993-024-00579-6
Kirschmer, M., & Klüners, J. (2024). Chow groups of one-dimensional noetherian domains. Research in Number Theory, 10(4), Article 89. https://doi.org/10.1007/s40993-024-00579-6
@article{Kirschmer_Klüners_2024, title={Chow groups of one-dimensional noetherian domains}, volume={10}, DOI={10.1007/s40993-024-00579-6}, number={489}, journal={Research in Number Theory}, publisher={Springer Science and Business Media LLC}, author={Kirschmer, Markus and Klüners, Jürgen}, year={2024} }
Kirschmer, Markus, and Jürgen Klüners. “Chow Groups of One-Dimensional Noetherian Domains.” Research in Number Theory 10, no. 4 (2024). https://doi.org/10.1007/s40993-024-00579-6.
M. Kirschmer and J. Klüners, “Chow groups of one-dimensional noetherian domains,” Research in Number Theory, vol. 10, no. 4, Art. no. 89, 2024, doi: 10.1007/s40993-024-00579-6.
Kirschmer, Markus, and Jürgen Klüners. “Chow Groups of One-Dimensional Noetherian Domains.” Research in Number Theory, vol. 10, no. 4, 89, Springer Science and Business Media LLC, 2024, doi:10.1007/s40993-024-00579-6.

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