2026-06-07T16:51:51Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/49672025-03-18T13:47:19Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
González Pérez, Pedro Daniel
author
González Villa, Manuel
author
Guzmán Durán, Carlos R.
author
Robredo Buces, Miguel
2023-06-16T14:24:43Z
2023-06-16T14:24:43Z
2021-09-29
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
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.
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Multiplier ideals of plane curve singularities via Newton polygons
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