Description

• Title:
  A note on the Łojasiewicz exponent of non-degenerate isolated hypersurface singularities
• Creator:
  Brzostowski, Szymon
• Contributor:
  Krasiński, Tadeusz;
  Spodzieja, Stanisław;
  Uniwersytet Łódzki, Wydział Matematyki i Informatyki
• Description:
  We prove that in order to find the value of the Łojasiewicz exponent ł(f) of a Kouchnirenko non-degenerate holomorphic function f : (Cn; 0) → (C; 0) with an isolated singular point at the origin, it is enough to find this value for any other (possibly simpler) function g : (Cn; 0) → (C; 0), provided this function is also Kouchnirenko non-degenerate and has the same Newton diagram as f does. We also state a more general problem, and then reduce it to a Teissier-like result on (c)-cosecant deformations, for formal power series with coefficients in an algebraically closed field K.
• Object availability:
  free access
• Rights: http://creativecommons.org/licenses/by-nc-nd/4.0 ;
  Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe
• Date:
  2020.01.24;
  2019
• Type:
  Book chapter
• Language:
  English
• Format:
  application/pdf;
  image/jpeg
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Analytic and Algebraic Geometry 3;
• Identifier:
  Brzostowski S., A note on the Łojasiewicz exponent of non-degenerate isolated hypersurface singularities, in: Analytic and Algebraic Geometry 3, T. Krasiński, S. Spodzieja (red.), WUŁ, Łódź 2019, doi: 10.18778/8142-814-9.04.;
  978-83-8142-814-9;
  http://hdl.handle.net/11089/31257 ;
  978-83-8142-815-6;
  10.18778/8142-814-9.04
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  seek permission
• Type:
  text