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September, 2003 Proximity relations for real rank one valuations dominating a local regular ring
Ángel Granja, Cristina Rodríguez
Rev. Mat. Iberoamericana 19(2): 393-412 (September, 2003).

Abstract

We study 0-dimensional real rank one valuations centered in a regular local ring of dimension $n\geq 2$ such that the associated valuation ring can be obtained from the regular ring by a sequence of quadratic transforms. We define two classical invariants associated to the valuation (the refined proximity matrix and the multiplicity sequence) and we show that are equivalent data of the valuation.

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Ángel Granja. Cristina Rodríguez. "Proximity relations for real rank one valuations dominating a local regular ring." Rev. Mat. Iberoamericana 19 (2) 393 - 412, September, 2003.

Information

Published: September, 2003
First available in Project Euclid: 8 September 2003

zbMATH: 1094.13535
MathSciNet: MR2023192

Subjects:
Primary: 13F30
Secondary: 13H05

Rights: Copyright © 2003 Departamento de Matemáticas, Universidad Autónoma de Madrid

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Vol.19 • No. 2 • September, 2003
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