1 citations · 1 across the 5 of their papers we have counts for
6 papers
The generic value set of a two-generator semigroup
Justin Lake, Lee McEwan
We give a simple recursion for the minimal generators of the generic value set of a plane curve germ with a two-generator semigroup $Γ\langle p, m \rangle…
On the Milnor fiber boundary of a quasi-ordinary surface
Gary Kennedy, Lee McEwan
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. Th…
A recursive formula for the motivic Milnor fiber of a plane curve
Manuel González Villa, Gary Kennedy, Lee J. McEwan
We find a recursive formula for the motivic Milnor fiber of an irreducible plane curve, using the notions of a truncation and derived curve. We then apply natural transformations t…
Monodromy of plane curves and quasi-ordinary surfaces
Gary Kennedy, Lee J. McEwan
We develop recursive formulas for the horizontal and vertical monodromies of a quasi-ordinary surface. These are monodromies associated to the Milnor fiber of a slice transverse to…
The Embedded Resolution of f(x,y)+z^2: (C^3,0) -> (C,0)
Chunsheng Ban, Lee J. McEwan, András Némethi
The goal of this paper is the presentation of an ``embedded resolution'' of ({f(x,y)+z^2=0},0) \subset (C^3,0) using the method of Jung.
Canonical Resolution of a Quasi-ordinary Surface Singularity
Chunsheng Ban, Lee J. McEwan
We describe the embedded resolution of a quasi-ordinary surface singularity (V,p) which results from applying the canonical resolution of Bierstone-Milman to (V,p). We show that th…