Mathematical Research Letters

Volume 14, Issue 1, January 2007 pp. 19-34.

The valuative tree of a two-dimensional regular local ring

Authors: A. Granja
Author institution: Universidad de León

Summary: We prove that the set of normalized centered real valuations of a two-dimensional regular noetherian local ring has a natural structure of parameterized, rooted, non-metric tree performed on the field of real numbers.

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