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Rees algebras of contracted ideals in two-dimensional regular local rings

✍ Scribed by J.K. Verma

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
457 KB
Volume
141
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Valuation ideals of order two in 2-dimen
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## Abstract Let __K__ be the quotient field of a 2‐dimensional regular local ring (__R, m__) and let __v__ be a prime divisor of __R__, i.e., a valuation of __K__ birationally dominating __R__ which is residually transcendental over __R__. Zariski showed that: such prime divisor __v__ is uniquely a

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This paper explicitly determines the core of a torsion-free, integrally closed module over a two-dimensional regular local ring. It is analogous to a result of Huneke and Swanson which determines the core of an integrally closed ideal. The main result asserts that the core of a finitely generated, t