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Witt rings of fields of quotients of two-dimensional regular local rings

✍ Scribed by Piotr Jaworski

Book ID
110559471
Publisher
Springer-Verlag
Year
1992
Tongue
French
Weight
458 KB
Volume
211
Category
Article
ISSN
0025-5874

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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