On the Milnor Fiber Boundary of a Quasi-Ordinary Surface

Journal of Singularities
volume 19 (2019), 34-52

Received: 6 January 2019. Received in revised form: 5 June 2019

DOI: 10.5427/jsing.2019.19c

Add a reference to this article to your citeulike library.

Abstract:

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.

Author(s) information: