• 대한수학회지
• /
• 제45권2호
• /
• pp.467-477
• /
• 2008

In this paper, we provide a criterion for Chow stability in terms of log canonical threshold of the Chow form in the Grassmannian.

• 대한수학회보
• /
• 제58권1호
• /
• pp.113-132
• /
• 2021

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.

• 대한수학회보
• /
• 제54권5호
• /
• pp.1773-1778
• /
• 2017

We give an alternative proof of a recent result by B. Pasquier stating that for a generalized flag variety X = G/P and an effective ${\mathbb{Q}}-divisor$ D stable with respect to a Borel subgroup the pair (X, D) is Kawamata log terminal if and only if ${\lfloor}D{\rfloor}=0$.