English

Chow groups of one-dimensional noetherian domains

Number Theory 2024-10-15 v3

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.

Keywords

Cite

@article{arxiv.2208.14688,
  title  = {Chow groups of one-dimensional noetherian domains},
  author = {Markus Kirschmer and Jürgen Klüners},
  journal= {arXiv preprint arXiv:2208.14688},
  year   = {2024}
}

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