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Chow groups of one-dimensional noetherian domains

  • Markus Kirschmer,
  • Jürgen Klüners

摘要

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.