24 citations · 57 across the 12 of their papers we have counts for
14 papers
The structural invariants of Goursat distributions
Susan Jane Colley, Gary Kennedy, Corey Shanbrom
This is the first of a pair of papers devoted to the local invariants of Goursat distributions. The study of these distributions naturally leads to a tower of spaces over an arbitr…
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…
Cartan Prolongation of a Family of Curves Acquiring a Node
Susan Jane Colley, Gary Kennedy
Using the monster/Semple tower construction, we study the structure of the Cartan prolongation of the family of plane curves with nodal central member.
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…
A coarse stratification of the monster tower
Alex Castro, Susan Jane Colley, Gary Kennedy +1
The monster tower is a tower of spaces over a specified base; each space in the tower is a parameter space for curvilinear data up to a specified order. We describe and analyze a n…
Computing Severi Degrees with Long-edge Graphs
Florian Block, Susan Jane Colley, Gary Kennedy
We study a class of graphs with finitely many edges in order to understand the nature of the formal logarithm of the generating series for Severi degrees in elementary combinatoria…