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http://dx.doi.org/10.4134/BKMS.b200052

ON DIVISORS COMPUTING MLD'S AND LCT'S  

Blum, Harold (Department of Mathematics University of Utah)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 113-132 More about this Journal
Abstract
We show that if a divisor centered over a point on a smooth surface computes a minimal log discrepancy, then the divisor also computes a log canonical threshold. To prove the result, we study the asymptotic log canonical threshold of the graded sequence of ideals associated to a divisor over a variety. We systematically study this invariant and prove a result describing which divisors compute asymptotic log canonical thresholds.
Keywords
Singularities; log canonical thresholds; graded sequences of ideals;
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