Abstract
We give a description of the multiplier ideals and jumping numbers associated with a plane curve singularity in a smooth surface in terms of Newton polygons. Our approach is inspired by a theorem of Howald about multiplier ideals of Newton non-degenerate hypersurfaces and our results provide a generalization of it to the case of plane curve singularities. We use toroidal embedded resolutions, which can be applied to the case of quasi-ordinary hypersurface singularities.
Acknowledgments
We are grateful to Patrick Popescu-Pampu for his comments on a preliminary version of this paper. We would like to thank the referee for the suggestions which have helped us to improve the presentation of the paper.