Saturation for valuations on two-dimensional regular local rings

被引：22
|
作者：
Delgado, F [1 ]
Galindo, C
Núñez, A
机构：
[1] Univ Valladolid, Fac Ciencias, Dept Algebra Geometria & Topol, E-47005 Valladolid, Spain
[2] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain
来源：
MATHEMATISCHE ZEITSCHRIFT | 2000年 / 234卷 / 03期
关键词：
Geometric Property; Local Ring; Classical Definition; Regular Local Ring; Saturated Ring;
D O I：
10.1007/PL00004811
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study valuations centered in a regular local ring of dimension two. We define the notion of saturation with respect to such a valuation, extending the classical definitions. The invariants associated in a natural way to the valuation are related with the saturated ring and some geometric properties are deduced.
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页码：519 / 550
页数：32
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