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.

引用

页码：519 / 550

页数：32

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