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On Teissier’s example of an equisingularity class that cannot be defined over the rationals

Adam Parusiński, Laurenţiu Păunescu Annales Polonici Mathematici MSC: Primary 32S25; Secondary 32S15, 14B05 DOI: 10.4064/ap241208-25-4 Opublikowany online: 27 October 2025

Streszczenie

A result of Teissier says that the cone over one of classical polygon examples in the real projective space gives, by complexification, a surface singularity which is not Whitney equisingular to a singularity defined over the field $\mathbb Q$ of rational numbers. In this note we correct the example and give a complete proof of Teissier’s result.

Autorzy

  • Adam ParusińskiUniversité Côte d’Azur
    CNRS, LJAD, UMR 7351
    06108 Nice, France
    e-mail
  • Laurenţiu PăunescuSchool of Mathematics and Statistics
    The University of Sydney
    Sydney, NSW, 2006, Australia
    e-mail

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