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 (am)m1 on X, having finite log canonical threshold, we show that if there are divisors Em over X computing the log canonical threshold of am, and such that the log discrepancies of the divisors Em are bounded, then the set {Emm 1} is finite.

Keywords
graded sequence of ideals, log canonical threshold
Mathematical Subject Classification 2010
Primary: 14F18
Secondary: 14B05
Milestones
Received: 27 November 2010
Revised: 23 May 2011
Accepted: 30 June 2011
Published: 5 July 2012
Authors
Mattias Jonsson
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1043
United States
Mircea Mustaţă
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1043
United States