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International Conference and Workshop on Valuation Theory
July 26 - August 11, 1999
University of Saskatchewan
Saskatoon, SK, Canada

Organizers
Franz-Viktor Kuhlmann, Salma Kuhlmann, Murray Marshall, Deirdre Haskell, Hans Schoutens

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Valuations on surfaces
by
Ana Reguera
Valladolid

Let (R, M) be a noetherian local domain and let K be its field of fractions. A valuation --> \nuK* \Phi is said to be centered in R if \nu is nonnegative on R and strictly positive on M. The purpose of the talk is to study the valuations \nu centered in a regular local ring, following Spivakovsky. We will rely on Zariski's theory of complete ideals.

Date received: May 26, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacv-53.