A finiteness property of graded sequences of ideals
arXiv:1011.3967
Abstract
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.
9 pages; v2: final version, to appear in Algebra and Number Theory