A finiteness property of graded sequences of ideals

Details A finiteness property of graded sequences of ideals A finiteness property of graded sequences of ideals

2010-11-17

arxiv.org/abs/1011.3967v2

Mathematics

Algebraic Geometry

9 pages; v2: final version, to appear in Algebra and Number Theory

Scientific paper

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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