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

Publishing house / Journals and Serials / Annales Polonici Mathematici / All issues

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

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

Volume 135 / 2025

Mateusz Masternak, Maciej Sękalski, Michał Zakrzewski Annales Polonici Mathematici 135 (2025), 237-250 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

8.00

Download

Search for IMPAN publications

Publishing house / Journals and Serials / Annales Polonici Mathematici / All issues

Annales Polonici Mathematici

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

Volume 135 / 2025

Abstract

Authors

Search for IMPAN publications

Rewrite code from the image