Separation of real algebraic sets and the Łojasiewicz exponent
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- by Krzysztof Kurdyka and Stanisław Spodzieja PDF
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Abstract:
We discuss several aspects of Łojasiewicz inequalities, namely local and global versions, and the relations between the gradient inequality and regular separation of real algebraic sets. We give effective estimates for Łojasiewicz’s exponents in the real and complex setting.References
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Additional Information
- Krzysztof Kurdyka
- Affiliation: Laboratoire de Mathematiques (LAMA), Université de Savoie, UMR-5127 de CNRS, 73-376 Le Bourget-du-Lac cedex, France
- Email: Krzysztof.Kurdyka@univ-savoie.fr
- Stanisław Spodzieja
- Affiliation: Faculty of Mathematics and Computer Science, University of Łódź, S. Banacha 22, 90-238 Łódź, Poland
- Email: spodziej@math.uni.lodz.pl
- Received by editor(s): June 11, 2012
- Received by editor(s) in revised form: September 14, 2012
- Published electronically: May 14, 2014
- Communicated by: Lev Borisov
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3089-3102
- MSC (2010): Primary 32S50, 14B05, 34A26
- DOI: https://doi.org/10.1090/S0002-9939-2014-12061-2
- MathSciNet review: 3223365