A finiteness property of graded sequences of ideals

Mattias Jonsson; Mircea Mustata

A finiteness property of graded sequences of ideals

Algebraic Geometry 2011-07-05 v2 Commutative Algebra

Authors: Mattias Jonsson , Mircea Mustata

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.

Keywords

graded sequence of ideals log canonical threshold divisor log discrepancy finiteness smooth variety

Cite

@article{arxiv.1011.3967,
  title  = {A finiteness property of graded sequences of ideals},
  author = {Mattias Jonsson and Mircea Mustata},
  journal= {arXiv preprint arXiv:1011.3967},
  year   = {2011}
}

Comments

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

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