Valuations and asymptotic invariants for sequences of ideals
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Publication:1948153
DOI10.5802/AIF.2746zbMATH Open1272.14016arXiv1011.3699OpenAlexW2963127458MaRDI QIDQ1948153
Author name not available (Why is that?)
Publication date: 2 May 2013
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1011.3699
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