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oai:docta.ucm.es:20.500.14352/49672025-03-18T13:47:19Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc González Pérez, Pedro Daniel author González Villa, Manuel author Guzmán Durán, Carlos R. author Robredo Buces, Miguel author 2021-09-29 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. González Pérez PD, González Villa M, Guzmán Durán CR, Robredo Buces M. Multiplier ideals of plane curve singularities via Newton polygons. Communications in Algebra 2024;52:1142–62. https://doi.org/10.1080/00927872.2023.2257799. https://hdl.handle.net/20.500.14352/4967 Multiplier ideals of plane curve singularities via Newton polygons