We study some local invariants attached via multiplier ideals to an effective divisor or ideal sheaf on a smooth complex variety. These jumping coefficients consist of an increasing sequence of positive rational numbers beginning with the log-canonical threshold of the divisor or ideal in question. They encode interesting geometric and algebraic information, and we see that they arise naturally in several different contexts.
"Jumping coefficients of multiplier ideals." Duke Math. J. 123 (3) 469 - 506, 15 June 2004. https://doi.org/10.1215/S0012-7094-04-12333-4