Geodesic
On the Milnor Fiber Boundary of a Quasi-Ordinary Surface
Journal of Singularities, Tome 19 (2019), pp. 34-52

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We give a recursive formula, expressed in terms of the characteristic tuples, for the Betti numbers of the boundary of the Milnor fiber of an irreducible quasi-ordinary surface S which is reduced in the sense of Lipman. The singular locus of S consists of two components, and for each component we introduce a sequence of increasingly simpler surfaces. Our recursion depends on a detailed comparison of these two sequences. In the penultimate section, we indicate how we expect pieces of these associated surfaces to glue together to reconstruct the Milnor fiber of S and its boundary. 
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     title = {On the {Milnor} {Fiber} {Boundary} of a {Quasi-Ordinary} {Surface}},
     journal = {Journal of Singularities},
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Gary Kennedy; Lee J. McEwan. On the Milnor Fiber Boundary of a Quasi-Ordinary Surface. Journal of Singularities, Tome 19 (2019), pp. 34-52. doi: 10.5427/jsing.2019.19c

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