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arXiv · 1011.3967

A finiteness property of graded sequences of ideals

Mattias Jonsson·Mircea Mustata
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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.

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Mattias Jonsson, Mircea Mustata. 2010-11-17. A finiteness property of graded sequences of ideals. https://arxiv.org/abs/1011.3967

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