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.
Publié le : 2003-09-14
Classification:
valuation,
real rank,
regular ring,
quadratic transform,
13F30,
13H05
@article{1063050160,
author = {Granja, \'Angel and Rodr\'\i guez, Cristina},
title = {Proximity relations for real rank one valuations dominating a local regular ring},
journal = {Rev. Mat. Iberoamericana},
volume = {19},
number = {2},
year = {2003},
pages = { 393-412},
language = {en},
url = {http://dml.mathdoc.fr/item/1063050160}
}
Granja, Ángel; Rodríguez, Cristina. Proximity relations for real rank one valuations dominating a local regular ring. Rev. Mat. Iberoamericana, Tome 19 (2003) no. 2, pp. 393-412. http://gdmltest.u-ga.fr/item/1063050160/