Mathematical Research Letters

Volume 14 (2007)

Number 1

The valuative tree of a two-dimensional regular local ring

Pages: 19 – 34

DOI: http://dx.doi.org/10.4310/MRL.2007.v14.n1.a2

Author

A. Granja (Universidad de León)

Abstract

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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