We study some local invariants attached via multiplier ideals toan effective divisor or ideal sheaf on a smooth complex variety.These jumping coefficients consist of an increasing sequence ofpositive rational numbers beginning with the log-canonicalthreshold of the divisor or ideal in question. They encodeinteresting geometric and algebraic information, and we see thatthey 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