The Łojasiewicz exponent of nondegenerate surface singularities

2011/10/19 by Grzegorz Oleksik, Oleksik, Grzegorz
Mathematics · #32S05 (Primary) #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV #msc:32S05

paper · pdf · doi:10.48550/arxiv.1110.4273

21 pages, 8 figures

arxiv created 2011/10/19 · arxiv updated 2011/10/20

Abstract

In the article 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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