English

Multiplier ideals and filtered D-modules

Algebraic Geometry 2007-05-23 v1

Abstract

We give a Hodge-theoretic interpretation of the multiplier ideal of an effective divisor on a smooth complex variety. More precisely, we show that the associated graded coherent sheaf with respect to the jumping-number filtration can be recovered from the smallest piece of M. Saito's Hodge filtration of the D-module of vanishing cycles.

Keywords

Cite

@article{arxiv.math/0305247,
  title  = {Multiplier ideals and filtered D-modules},
  author = {Nero Budur},
  journal= {arXiv preprint arXiv:math/0305247},
  year   = {2007}
}

Comments

5 pages