The Milnor Fiber Conjecture and iterated branched cyclic covers

Lamberson, P.

doi:10.1090/S0002-9947-09-04647-9

The Milnor Fiber Conjecture and iterated branched cyclic covers
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Trans. Amer. Math. Soc. 361 (2009), 4653-4681 Request permission

Abstract:

In this paper we prove the Milnor Fiber Conjecture of Neumann and Wahl for a class of isolated complete intersection singularities obtained by taking iterated branched cyclic covers of the singularity link. We also show that if the Milnor Fiber Conjecture holds for a given splice diagram, then it holds for any equivalent diagram satisfying the semigroup condition. We illustrate the application of these theorems in an example and discuss the relationship of these singularities with Neumann and Wahl’s Splice Type Conjecture.

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