Título inglés |
On proximity relations for valuations dominating a two-dimensional regular local ring. |
Título español |
Relaciones de proximidad para valoraciones que dominan un anillo regular local de dos dimensiones. |
Autor/es |
Aparicio, José J. ; Granja, Angel ; Sánchez-Giralda, Tomás |
Organización |
Dep. Alg. Geom. Topol. Univ. Valladolid, Valladolid, España;Dep. Mat. Univ. León, León, España |
Revista |
0213-2230 |
Publicación |
1999, 15 (3): 621-634, 18 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
The purpose of this paper is to define a new numerical invariant of valuations centered in a regular two-dimensional regular local ring. For this, we define a sequence of non-negative rational numbers δν = {δν(j)}j ≥ 0 which is determined by the proximity relations of the successive quadratic transformations at the points determined by a valuation ν. This sequence is characterized by seven combinatorial properties, so that any sequence of non-negative rational numbers having the above properties is the sequence associated to a valuation. |
Clasificación UNESCO |
120105 |
Palabras clave español |
Dimensiones ; Invariantes ; Anillo local |
Código MathReviews |
MR1742218 |
Código Z-Math |
Zbl 0968.13011 |
Acceso al artículo completo |