On Izumi's theorem on comparison of valuations

スポンサーリンク

概要

• 論文の詳細を見る

• 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, $\mathfrak{m}$) ⊂ 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 the key polynomials of the valuations. We show that this bound can be attained in some cases.

• 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文

著者

• Moghaddam Mohammad

  School of Mathematics Institute for Research in Fundamental Sciences (IPM)

関連論文

• On Izumi's theorem on comparison of valuations

スポンサーリンク