• Title of article

    Valuations determined by quadratic transforms of a regular ring

  • Author/Authors

    Miguel A. Granja، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    20
  • From page
    699
  • To page
    718
  • Abstract
    Let R be a regular noetherian local ring and let V be the ring of a zero-dimensional valuation v of the quotient field of R dominating R. The aim of this paper is to characterize when V can be obtained from R by the sequence of successive quadratic transforms of R along V. We also show some properties of such valuations in terms of the sequence.
  • Keywords
    Real rank , Quadratic transforms , Rational rank , valuations
  • Journal title
    Journal of Algebra
  • Serial Year
    2004
  • Journal title
    Journal of Algebra
  • Record number

    696882