SIMPLE VALUATION IDEALS OF ORDER 3 IN TWO-DIMENSIONAL REGULAR LOCAL RINGS

- Journal title : Communications of the Korean Mathematical Society
- Volume 23, Issue 4, 2008, pp.511-528
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2008.23.4.511

Title & Authors

SIMPLE VALUATION IDEALS OF ORDER 3 IN TWO-DIMENSIONAL REGULAR LOCAL RINGS

Noh, Sun-Sook;

Noh, Sun-Sook;

Abstract

Let (R, m) be a 2-dimensional regular local ring with algebraically closed residue field R/m. Let K be the quotient field of R and be a prime divisor of R, i.e., a valuation of K which is birationally dominating R and residually transcendental over R. Zariski showed that there are finitely many simple -ideals $m\;

Keywords

simple valuation ideal;order of an ideal;prime divisor;proximity of simple integrally closed ideal;regular local ring;

Language

English

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