A finiteness property of graded sequences of ideals
classification
🧮 math.AG
math.AC
keywords
canonicaldivisorsfinitegradedidealsthresholdboundedcase
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Given a graded sequence of ideals (a_m) on a smooth variety $X$ having finite log canonical threshold, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepancies of the divisors E_m are bounded. We show that in this case the set of divisors E_m is finite.
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