On Izumi's theorem on comparison of valuations
نویسندگان
چکیده
منابع مشابه
On Izumi’s Theorem on Comparison of Valuations
We prove that the sequence of MacLane key polynomials constructed in [7] and [3] for a valuation extension (K, ν) ⊂ (K(x), μ) is finite, provided that both ν and μ are divisorial and μ is centered over an analytically irreducible local domain (R,m) ⊂ K[x]. As a corollary, we prove Izumi’s theorem on comparison of divisorial valuations. We give explicit bounds for the Izumi constant in terms of ...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2011
ISSN: 0386-5991
DOI: 10.2996/kmj/1301576758