Multiplier ideals of plane curve singularities via Newton polygons
| dc.contributor.author | González Pérez, Pedro Daniel | |
| dc.contributor.author | González Villa, Manuel | |
| dc.contributor.author | Guzmán Durán, Carlos R. | |
| dc.contributor.author | Robredo Buces, Miguel | |
| dc.date.accessioned | 2023-06-16T14:24:43Z | |
| dc.date.available | 2023-06-16T14:24:43Z | |
| dc.date.issued | 2021-09-29 | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | FALSE | |
| dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO) | |
| dc.description.sponsorship | Universidad Complutense de Madrid | |
| dc.description.status | unpub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/73464 | |
| dc.identifier.citation | 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. | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/4967 | |
| dc.language.iso | eng | |
| dc.relation.projectID | MTM2016-76868-C2-1-P; SEV-2015-0554 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | Geometría algebraica | |
| dc.subject.keyword | multiplier ideals | |
| dc.subject.keyword | jumping numbers | |
| dc.subject.keyword | plane curve singularities | |
| dc.subject.keyword | toroidal resolutions | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Multiplier ideals of plane curve singularities via Newton polygons | |
| dc.type | journal article | |
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