RT Journal Article
T1 Multiplier ideals of plane curve singularities via Newton polygons
A1 González Pérez, Pedro Daniel
A1 González Villa, Manuel
A1 Guzmán Durán, Carlos R.
A1 Robredo Buces, Miguel
AB 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.
YR 2021
FD 2021-09-29
LK https://hdl.handle.net/20.500.14352/4967
UL https://hdl.handle.net/20.500.14352/4967
LA eng
NO 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.
NO Ministerio	 de Economía	y  Competitividad (MINECO)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 27 abr 2025