Revista Matemática Iberoamericana
- Rev. Mat. Iberoamericana
- Volume 19, Number 2 (2003), 393-412.
Proximity relations for real rank one valuations dominating a local regular ring
We study 0-dimensional real rank one valuations centered in a regular local ring of dimension $n\geq 2$ 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.
Rev. Mat. Iberoamericana, Volume 19, Number 2 (2003), 393-412.
First available in Project Euclid: 8 September 2003
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Granja, Ángel; Rodríguez, Cristina. Proximity relations for real rank one valuations dominating a local regular ring. Rev. Mat. Iberoamericana 19 (2003), no. 2, 393--412. https://projecteuclid.org/euclid.rmi/1063050160