{"issue":"4","type":"journal_article","date_updated":"2024-11-05T09:46:04Z","_id":"55554","external_id":{"arxiv":["2208.14688"]},"publisher":"Springer Science and Business Media LLC","publication_identifier":{"issn":["2522-0160","2363-9555"]},"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."}],"author":[{"first_name":"Markus","last_name":"Kirschmer","full_name":"Kirschmer, Markus","id":"82258"},{"first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202"}],"status":"public","intvolume":"        10","date_created":"2024-08-06T07:03:20Z","title":"Chow groups of one-dimensional noetherian domains","volume":10,"article_number":"89","year":"2024","publication":"Research in Number Theory","doi":"10.1007/s40993-024-00579-6","user_id":"82981","language":[{"iso":"eng"}],"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>","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>.","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>","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>.","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} }","short":"M. Kirschmer, J. Klüners, Research in Number Theory 10 (2024)."},"publication_status":"published"}