Extending valuations to formal completions

  • Francisco Javier Herrera Govantes

    Universidad de Sevilla, Spain
  • Miguel Ángel Olalla Acosta

    Universidad de Sevilla, Spain
  • Mark Spivakovsky

    Université Paul Sabatier, Toulouse, France
  • Bernard Teissier

    UMR 7586 du CNRS, Paris, France
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Abstract

This paper is an extended version of the talk given by Miguel Angel Olalla Ácosta at the International Conference on Valuation Theory in El Escorial in July 2011. Its purpose is to provide an introduction to our joint paper [5] without grinding through all of its technical details. We refer the reader to [5] for details and proofs; only a few proofs are given in the present paper.