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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Łojasiewicz exponent of an isolated weighted homogeneous surface singularity
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by Tadeusz Krasiński, Grzegorz Oleksik and Arkadiusz Płoski PDF
Proc. Amer. Math. Soc. 137 (2009), 3387-3397 Request permission

Abstract:

We give an explicit formula for the Łojasiewicz exponent of an isolated weighted homogeneous surface singularity in terms of its weights. From the formula we get that the Łojasiewicz exponent is a topological invariant of these singularities.
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Additional Information
  • Tadeusz Krasiński
  • Affiliation: Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland
  • Email: krasinsk@uni.lodz.pl
  • Grzegorz Oleksik
  • Affiliation: Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland
  • Email: oleksig@math.uni.lodz.pl
  • Arkadiusz Płoski
  • Affiliation: Department of Mathematics, Technical University, Al. 1000 LPP 7, 25-314 Kielce, Poland
  • Email: matap@tu.kielce.pl
  • Received by editor(s): July 10, 2008
  • Received by editor(s) in revised form: February 10, 2009
  • Published electronically: May 6, 2009
  • Communicated by: Mei-Chi Shaw
  • © Copyright 2009 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3387-3397
  • MSC (2000): Primary 32S05
  • DOI: https://doi.org/10.1090/S0002-9939-09-09935-3
  • MathSciNet review: 2515408