|
Título:
|
On local uniformization of orderings
|
|
Autores:
|
Andradas Heranz, Carlos ;
Ruiz Sancho, Jesús María
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
American Mathematical Society, 1994
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Geometria algebraica
,
Tipo = Sección de libro
|
|
Resumen:
|
The main application of the results of this paper is to prove the existence of real valuation rings of the quotient field K of an excellent domain A having prescribed centers, ranks, rational ranks and residue dimensions. The major part of the paper develops the machinery necessary for this task. Let ? be a point in the real spectrum of the ring A. Much of the paper is devoted to showing that ? can be uniformized by means of quadratic transforms. Assume now that A is local. Write G? for the topological space of all generations of ? in the quotient field K, write U? for the subset of elements ??G? which uniformize ?, and write B? for the set of ??G? which blow up ?. The two main theorems state that the interior of U? is dense in G? and that the set B? is dense in G?.
|
