Chow groups of one-dimensional noetherian domains

Markus Kirschmer; Jürgen Klüners

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arXiv · 2208.14688

Chow groups of one-dimensional noetherian domains

Markus Kirschmer·Jürgen Klüners

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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.

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Markus Kirschmer, Jürgen Klüners. 2022-08-31. Chow groups of one-dimensional noetherian domains. https://arxiv.org/abs/2208.14688

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