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The Łojasiewicz exponent of nondegenerate surface singularities

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Abstract

We give some estimations of the Łojasiewicz exponent of nondegenerate surface singularities in terms of their Newton diagrams. We also give an exact formula for the Łojasiewicz exponent of such singularities in some special cases. The results are stronger than Fukui inequality [8]. It is also a multidimensional generalization of the Lenarcik theorem [13].

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  1. Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238, Łódź, Poland

    Grzegorz Oleksik

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  1. Grzegorz Oleksik
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Oleksik, G. The Łojasiewicz exponent of nondegenerate surface singularities. Acta Math Hung 138, 179–199 (2013). https://doi.org/10.1007/s10474-012-0285-5

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  • DOI: https://doi.org/10.1007/s10474-012-0285-5

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