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Topology of smoothings of non-isolated singularities of complex surfaces

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We prove that the boundaries of the Milnor fibers of smoothings of non-isolated reduced complex surface singularities are graph manifolds. Moreover, we give a method, inspired by previous work of Némethi and Szilard, to compute associated plumbing graphs.

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  1. I2M, Centrale Marseille, Aix Marseille Université, CNRS, Marseille, France

    Octave Curmi

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  1. Octave Curmi
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Correspondence to Octave Curmi.

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Communicated by Jean-Yves Welschinger.

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Curmi, O. Topology of smoothings of non-isolated singularities of complex surfaces. Math. Ann. 377, 1711–1755 (2020). https://doi.org/10.1007/s00208-020-01993-8

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