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The Łojasiewicz exponent of nondegenerate surface singularities (1110.4273v1)
Published 19 Oct 2011 in math.CV and math.AG
Abstract: In the article we give some estimations of the {\L}ojasiewicz exponent of nondegenerate surface singularities in terms of their Newton diagrams. We also give an exact formula for the {\L}ojasiewicz 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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