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On the Milnor number of a polar curve of a generic plane branch with one characteristic exponent

Volume 128 / 2024

Mateusz Masternak, Michał Zakrzewski Banach Center Publications 128 (2024), 145-151 MSC: Primary 1R09; Secondary 52B20, 14H50, 14B05, 14H20 DOI: 10.4064/bc128-10

Abstract

We prove a formula for the Milnor number of a polar curve of a generic plane branch with one characteristic exponent, using Newton diagrams technique and arithmetic properties of continued fraction expansions.

Authors

  • Mateusz MasternakDepartment of Mathematics
    Jan Kochanowski University in Kielce
    25-406 Kielce, Poland
    e-mail
  • Michał ZakrzewskiDepartment of Mathematics
    Jan Kochanowski University in Kielce
    25-406 Kielce, Poland
    e-mail

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