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

Granja, Angel, and Rodríguez, Cristina. "Proximity relations for real rank one valuations dominating a local regular ring.." Revista Matemática Iberoamericana 19.2 (2003): 393-412. <http://eudml.org/doc/39602>.

@article{Granja2003,
abstract = {We study 0-dimensional real rank one valuations centered in a regular local ring of dimension n &gt; 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.},
author = {Granja, Angel, Rodríguez, Cristina},
journal = {Revista Matemática Iberoamericana},
keywords = {Anillos conmutativos; Valoración; Anillo local noetheriano},
language = {eng},
number = {2},
pages = {393-412},
title = {Proximity relations for real rank one valuations dominating a local regular ring.},
url = {http://eudml.org/doc/39602},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Granja, Angel
AU - Rodríguez, Cristina
TI - Proximity relations for real rank one valuations dominating a local regular ring.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 2
SP - 393
EP - 412
AB - We study 0-dimensional real rank one valuations centered in a regular local ring of dimension n &gt; 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.
LA - eng
KW - Anillos conmutativos; Valoración; Anillo local noetheriano
UR - http://eudml.org/doc/39602
ER -