Abstract

The main purpose of this paper is to explicitly calculate the Jordan blocks of size 2 for the eigenvalue λ=1 of a Yomdin–Lê surface singularity, in terms of the combinatorial data of its tangent cone. Our method relies on the use of a generalization of Steenbrink's spectral sequence and a certain partial toric resolution of this family of singularities. Both the spectral sequence and the partial resolution have already been developed by the author in previous works.

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