ガロア第一論文と乗数イデアル他関連資料スレ5

ガロア第一論文と乗数イデアル他関連資料スレ5at MATH

ガロア第一論文と乗数イデアル他関連資料スレ5 - 暇つぶし2ch888:ised 20 Oct 2011 (this version, v3)] Valuations and asymptotic invariants for sequences of ideals Mattias Jonsson, Mircea Mustata We study asymptotic jumping numbers for graded sequences of ideals, and show that every such invariant is computed by a suitable real valuation of the function field. We conjecture that every valuation that computes an asymptotic jumping number is necessarily quasi-monomial. This conjecture holds in dimension two. In general, we reduce it to the case of affine space and to graded sequences of valuation ideals. Along the way, we study the structure of a suitable valuation space. v3: minor changes, this is the final version, to appear in Ann. Inst. Fourier (Grenoble)

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