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

Casas Alvero, Eduardo2025-01-132025-01-132023-090025-2611https://hdl.handle.net/2445/217388We 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.39 p.application/pdfengcc by (c) Eduardo Casas Alvero, 2023http://creativecommons.org/licenses/by/3.0/es/InvariantsAnells localsCorbes algebraiquesSingularitats (Matemàtica)InvariantsLocal ringsAlgebraic curvesSingularities (Mathematics)Polar germs, Jacobian ideal and analytic classification of irreducible plane curve singularitiesinfo:eu-repo/semantics/article2025-01-13info:eu-repo/semantics/openAccess