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Multiplier ideals of plane curve singularities via Newton polygons by Pérez, Pedro D. González; Villa, Manuel González; Durán, Carlos R. Guzmán; Buces, Miguel Robredo is a scholarly article available to read on EtoBox.

What is Multiplier ideals of plane curve singularities via Newton polygons about?

We give an effective method to determine the multiplier ideals and jumping numbers associated with a curve singularity $C$ in a smooth surface. We characterize the multiplier ideals in terms of certain Newton polygons, generalizing a theorem of Howald, which holds when $C$ is Newton non-degenerate with respect to some local coordinate system. The method uses toroidal embedded resolutions and generating sequences of families of valuations, and can be extended to some classes of higher dimensional hypersurface singularities.

Author

Pérez, Pedro D. González; Villa, Manuel González; Durán, Carlos R. Guzmán; Buces, Miguel Robredo

Published

2021

Language

EN