Journal
ANNALES DE L INSTITUT FOURIER
Volume 62, Issue 6, Pages 2145-2209Publisher
ANNALES INST FOURIER
DOI: 10.5802/aif.2746
Keywords
Graded sequence of ideals; multiplier ideals; log canonical threshold; valuation
Categories
Funding
- NSF [DMS-0449465, DMS-1001740, DMS-0758454]
- Packard Fellowship
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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.
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