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The primary components of and integral closures of ideals in 3-dimensional regular local rings

✍ Scribed by Craig Huneke


Publisher
Springer
Year
1986
Tongue
English
Weight
886 KB
Volume
275
Category
Article
ISSN
0025-5831

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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