Chow groups of one-dimensional noetherian domains
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913543683571712 |
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| author | Kirschmer, Markus Klüners, Jürgen |
| author_facet | Kirschmer, Markus Klüners, Jürgen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_14688 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Chow groups of one-dimensional noetherian domains Kirschmer, Markus Klüners, Jürgen Number Theory 11R54, 11Y40 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. |
| title | Chow groups of one-dimensional noetherian domains |
| topic | Number Theory 11R54, 11Y40 |
| url | https://arxiv.org/abs/2208.14688 |