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Article

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Published version

Publication date

2023-09

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cc by (c) Eduardo Casas Alvero, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/217388

Polar germs, Jacobian ideal and analytic classification of irreducible plane curve singularities

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Related resource

https://doi.org/10.1007/s00229-022-01393-z

Abstract

We examine the relationship between the analytic type of an irreducible plane curve singularity with a single characteristic exponent and the germs of curve defined by the elements of its Jacobian ideal, in particular its polar germs.

Subject

Invariants, Anells locals, Corbes algebraiques, Singularitats (Matemàtica)

Subject (English)

Invariants, Local rings, Algebraic curves, Singularities (Mathematics)

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

CASAS ALVERO, Eduardo. Polar germs, Jacobian ideal and analytic classification of irreducible plane curve singularities. Manuscripta Mathematica. 2023. Vol. 172, num. 1-2, pags. 169-207. ISSN 0025-2611. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/217388

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