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The Łojasiewicz exponent in non-degenerate deformations of surface singularities

Volume 127 / 2021

Szymon Brzostowski, Tadeusz Krasiński, Grzegorz Oleksik Annales Polonici Mathematici 127 (2021), 165-175 MSC: Primary 32S30; Secondary 14B07. DOI: 10.4064/ap210209-1-6 Published online: 28 October 2021

Abstract

We prove the constancy of the Łojasiewicz exponent in non-degenerate $\mu $-constant deformations of surface singularities. This is a partial affirmative answer to a question posed by B. Teissier.

Authors

  • Szymon BrzostowskiFaculty of Mathematics and Computer Science
    University of Łódź
    Banacha 22
    90-238 Łódź, Poland
    e-mail
  • Tadeusz KrasińskiFaculty of Mathematics and Computer Science
    University of Łódź
    Banacha 22
    90-238 Łódź, Poland
    e-mail
  • Grzegorz OleksikFaculty of Mathematics and Computer Science
    University of Łódź
    Banacha 22
    90-238 Łódź, Poland
    e-mail

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