#### Vol. 6, No. 3, 2012

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A finiteness property of graded sequences of ideals

### Mattias Jonsson and Mircea Mustaţă

Vol. 6 (2012), No. 3, 561–571
##### Abstract

Given a graded sequence of ideals ${\left({\mathfrak{a}}_{m}\right)}_{m\ge 1}$ on $X$, having finite log canonical threshold, we show that if there are divisors ${E}_{m}$ over $X$ computing the log canonical threshold of ${\mathfrak{a}}_{m}$, and such that the log discrepancies of the divisors ${E}_{m}$ are bounded, then the set $\left\{{E}_{m}\mid m\ge 1\right\}$ is finite.

##### Keywords
graded sequence of ideals, log canonical threshold
Primary: 14F18
Secondary: 14B05