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On divisors computing mld's and lct's

Harold Blum
대한수학회 (The Korean Mathematical Society)|2021.01|대한수학회보 (Bulletin of the KMS)|제58권 제1호|pp. 113-132|DOI 10.4134/BKMS.b200052

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참고문헌

키워드

Singularitieslog canonical thresholdsgraded sequences of ideals
주제분류수학

초록

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.

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.

참고문헌 (26)

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