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

Mateusz Masternak; Maciej Sękalski; Michał Zakrzewski

doi:10.4064/ap250105-17-2

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Annales Polonici Mathematici / Online First articles

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

Mateusz Masternak, Maciej Sękalski, Michał Zakrzewski Annales Polonici Mathematici MSC: Primary 11R09; Secondary 52B20, 14H50, 14B05, 14H20 DOI: 10.4064/ap250105-17-2 Published online: 30 June 2025

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.

Authors

Mateusz MasternakDepartment of Mathematics
Jan Kochanowski University in Kielce
25-406 Kielce, Poland
ORCID: 0000-0002-8794-5714
e-mail
Maciej SękalskiDepartment of Mathematics and Physics
Kielce University of Technology
25-314 Kielce, Poland
ORCID: 0000-0001-6636-2790
e-mail
Michał ZakrzewskiDepartment of Mathematics
Jan Kochanowski University in Kielce
25-406 Kielce, Poland
ORCID: 0000-0002-2118-7666
e-mail

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Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Annales Polonici Mathematici / Online First articles

Annales Polonici Mathematici

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

Abstract

Authors

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