Abstract. We give an explicit formula for the ̷ Lojasiewicz exponent of an isolated weighted homogeneous surface singularity in terms of its weights. From the formula we get that the ̷ Lojasiewicz exponent is a topological invariant of these singularities.
Let = 0 be a plane algebraic curve of degree > 1 with an isolated singular point at 0 ∈ C 2 . We show that the Milnor number µ 0 ( ) is less than or equal to ( − 1) 2 − [ /2], unless = 0 is a set of concurrent lines passing through 0, and characterize the curves = 0 for which
MSC:14B05, 14N99
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