JournalsrmiVol. 19, No. 2pp. 393–412

Proximity relations for real rank one valuations dominating a local regular ring

  • Ángel Granja

    Universidad de León, Spain
  • Cristina Rodríguez

    Universidad de León, Spain
Proximity relations for real rank one valuations dominating a local regular ring cover
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Abstract

We study 0-dimensional real rank one valuations centered in a regular local ring of dimension n2n\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.

Cite this article

Ángel Granja, Cristina Rodríguez, Proximity relations for real rank one valuations dominating a local regular ring. Rev. Mat. Iberoam. 19 (2003), no. 2, pp. 393–412

DOI 10.4171/RMI/354