On the Milnor number of the second order polar of a generic non-degenerate branch

We give a formula for the Milnor number of the second order polar of a generic branch with one characteristic exponent using continued fraction expansions.

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Publication Details

Journal
Annales Polonici Mathematici
Published
2025-01-01
DOI
https://doi.org/10.4064/ap250105-17-2
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Milnor number of the second order polar of a generic non-degenerate branch

Michał Zakrzewski, Mateusz Masternak, Maciej Sękalski
Annales Polonici Mathematici
Commutative Algebra and Its Applications
article

On the Milnor number of the second order polar of a generic non-degenerate branch

Michał Zakrzewski, Mateusz Masternak, Maciej Sękalski
article en

Abstract

We give a formula for the Milnor number of the second order polar of a generic branch with one characteristic exponent using continued fraction expansions.

Annales Polonici Mathematici
Kielce University of Technology (PL), Jan Kochanowski University (PL)
Openalex Percentile: Top 78%
Commutative Algebra and Its Applications
DOIOpen Access PDFOpenAlex
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On the Milnor number of the second order polar of a generic non-degenerate branch — Michał Zakrzewski, Mateusz Masternak, et al. · Annales Polonici Mathematici (2025) | TGRS Research Map | TGRS