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math.AGOct 1, 2023
authors
  • Cezar Joiţa
  • Matteo Stockinger
  • Mihai Tibăr
institutions
  • Centre National de la Recherche Scientifique
  • École Normale Supérieure - PSL
  • Laboratoire Paul Painlevé
  • New Europe College
  • Romanian Academy
  • Université de Lille
arXiv abstractPDF
paper

Tame deformations of highly singular function germs

arXiv:2310.07340 · doi:10.1016/j.geomphys.2025.105471

Abstract

We give analytic and algebraic conditions under which a deformation of real analytic functions with non-isolated singular locus is a deformation with fibre constancy.

final version

References in corpus (9)

  • Real map germs and higher open books
  • Regularity at infinity of real mappings and a Morse-Sard theorem
  • Fibrations of highly singular map germs
  • Real polynomial maps and singular open books at infinity
  • Thom irregularity and Milnor tube fibrations
  • Singular open book structures from real mappings
  • Images of analytic map germs, and singular fibrations
  • Fibrations of tamely composable maps
  • Milnor Fiber Consistency via Flatness
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