- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:43
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
19
2003
2
Proximity relations for real rank one valuations dominating a local regular ring
Ángel
Granja
Universidad de León, León, SPAIN
Cristina
Rodríguez
Universidad de León, LEON, SPAIN
Valuation, real rank, regular ring, quadratic transform
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.
Commutative rings and algebras
General
393
412
10.4171/RMI/354
http://www.ems-ph.org/doi/10.4171/RMI/354