24 citations · 57 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
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…
Zariski decomposition: a new (old) chapter of linear algebra
Thomas Bauer, Mirel Caibar, Gary Kennedy
In a 1962 paper, Zariski introduced the decomposition theory that now bears his name. Although it arose in the context of algebraic geometry and deals with the configuration of cur…
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…
Tangential Quantum Cohomology of Arbitrary Order
S. J. Colley, G. Kennedy
J. Kock has previously defined a tangency quantum product on formal power series with coefficients in the cohomology ring of any smooth projective variety, and thus a ring that gen…
Contact formulas for rational plane curves via stable maps
Susan Jane Colley, Lars Ernstrom, Gary Kennedy
We use stable maps, and their stable lifts to the Semple bundle variety of second-order curvilinear data, to calculate certain characteristic numbers for rational plane curves. The…