---
_id: '55554'
abstract:
- lang: eng
  text: "We discuss various connections between ideal classes, divisors, Picard and\r\nChow
    groups of one-dimensional noetherian domains. As a result of these, we\r\ngive
    a method to compute Chow groups of orders in global fields and show that\r\nthere
    are infinitely many number fields which contain orders with trivial Chow\r\ngroups."
article_number: '89'
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Kirschmer M, Klüners J. Chow groups of one-dimensional noetherian domains.
    <i>Research in Number Theory</i>. 2024;10(4). doi:<a href="https://doi.org/10.1007/s40993-024-00579-6">10.1007/s40993-024-00579-6</a>
  apa: Kirschmer, M., &#38; Klüners, J. (2024). Chow groups of one-dimensional noetherian
    domains. <i>Research in Number Theory</i>, <i>10</i>(4), Article 89. <a href="https://doi.org/10.1007/s40993-024-00579-6">https://doi.org/10.1007/s40993-024-00579-6</a>
  bibtex: '@article{Kirschmer_Klüners_2024, title={Chow groups of one-dimensional
    noetherian domains}, volume={10}, DOI={<a href="https://doi.org/10.1007/s40993-024-00579-6">10.1007/s40993-024-00579-6</a>},
    number={489}, journal={Research in Number Theory}, publisher={Springer Science
    and Business Media LLC}, author={Kirschmer, Markus and Klüners, Jürgen}, year={2024}
    }'
  chicago: Kirschmer, Markus, and Jürgen Klüners. “Chow Groups of One-Dimensional
    Noetherian Domains.” <i>Research in Number Theory</i> 10, no. 4 (2024). <a href="https://doi.org/10.1007/s40993-024-00579-6">https://doi.org/10.1007/s40993-024-00579-6</a>.
  ieee: 'M. Kirschmer and J. Klüners, “Chow groups of one-dimensional noetherian domains,”
    <i>Research in Number Theory</i>, vol. 10, no. 4, Art. no. 89, 2024, doi: <a href="https://doi.org/10.1007/s40993-024-00579-6">10.1007/s40993-024-00579-6</a>.'
  mla: Kirschmer, Markus, and Jürgen Klüners. “Chow Groups of One-Dimensional Noetherian
    Domains.” <i>Research in Number Theory</i>, vol. 10, no. 4, 89, Springer Science
    and Business Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s40993-024-00579-6">10.1007/s40993-024-00579-6</a>.
  short: M. Kirschmer, J. Klüners, Research in Number Theory 10 (2024).
date_created: 2024-08-06T07:03:20Z
date_updated: 2024-11-05T09:46:04Z
doi: 10.1007/s40993-024-00579-6
external_id:
  arxiv:
  - '2208.14688'
intvolume: '        10'
issue: '4'
language:
- iso: eng
publication: Research in Number Theory
publication_identifier:
  issn:
  - 2522-0160
  - 2363-9555
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Chow groups of one-dimensional noetherian domains
type: journal_article
user_id: '82981'
volume: 10
year: '2024'
...