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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… Click to show full abstract

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 NĂ©methi and Szilard, to compute associated plumbing graphs.

Keywords: non isolated; singularities complex; topology; isolated singularities; smoothings non; topology smoothings

Journal Title: Mathematische Annalen
Year Published: 2019

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