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Prime Ideals in Birational Extensions of Two-Dimensional Power Series Rings

✍ Scribed by Eubanks-Turner, Christina; Luckas, Melissa; Saydam, A. Serpil

Book ID: 118259563
Publisher: Taylor and Francis Group
Year: 2013
Tongue: English
Weight: 575 KB
Volume: 41
Category: Article
ISSN: 0092-7872
DOI: 10.1080/00927872.2011.635618

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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