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

• Autores: Ángel Granja Barón , María Cristina Rodríguez Sánchez
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 19, Nº 2, 2003, págs. 393-412
• Idioma: inglés
• DOI: 10.4171/rmi/354
• Títulos paralelos:
  • Relaciones de proximidad para valoraciones de rango real uno que dominan un anillo local regular.
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• Resumen

  • We study 0-dimensional real rank one valuations centered in a regular local ring of dimension n > 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