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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.

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