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تسجيل مستخدم جديدThe {L}ojasiewicz exponent of non-degenerate surface singularities
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Let $f$ be an isolated singularity at the origin of $mathbb{C}^n$. One of many invariants that can be associated with $f$ is its {L}ojasiewicz exponent $mathcal{L}_0 (f)$, which measures, to some extent, the topology of $f$. We give, for generic surface singularities $f$, an effective formula for $mathcal{L}_0 (f)$ in terms of the Newton polyhedron of $f$. This is a realization of one of Arnolds postulates.
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