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Multiplier ideals of plane curve singularities via Newton polygons

Multiplier ideals of plane curve singularities via Newton polygons

AbstractWe 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 …