2003/05/08 by Nero Budur, Budur, Nero, Morihiko Saito +1 · 2 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation #math.AG #msc:32S35
paper · pdf · doi:10.48550/arxiv.math/0305118
13 pages, the statement of the main theorem is improved
arxiv created 2004/04/14 · arxiv updated 2009/11/30
For an effective divisor on a smooth algebraic variety or a complex manifold, we show that the associated multiplier ideals coincide essentially with the filtration induced by the filtration V constructed by B. Malgrange and M. Kashiwara. This implies another proof of a theorem of L. Ein, R. Lazarsfeld, K.E. Smith and D. Varolin that any jumping coefficient in the interval (0,1] is a root of the Bernstein-Sato polynomial up to sign. We also give a refinement (using mixed Hodge modules) of the formula for the coefficients of the spectrum for exponents not greater than one or greater than the dimension of the variety minus one.