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arxiv: 1110.4273 · v1 · pith:2VN7TCE2new · submitted 2011-10-19 · 🧮 math.CV · math.AG

The {L}ojasiewicz exponent of nondegenerate surface singularities

classification 🧮 math.CV math.AG
keywords exponentojasiewiczsingularitiesgivenondegeneratesomesurfacearticle
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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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