论文标题

一维noetherian领域的食物组

Chow groups of one-dimensional noetherian domains

论文作者

Kirschmer, Markus, Klüners, Jürgen

论文摘要

我们讨论一维noetherian领域的理想类别,分数,PICARD和CHOW组之间的各种联系。结果,我们提供了一种计算全球字段中订单组的方法,并表明有无限的数字字段包含具有琐碎的Chow组的订单。

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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