We investigate one-parameter deformations of functions on affine space which define
parameterizable hypersurfaces. With the assumption of isolated polar activity at the origin …

The Milnor number is the most important number associated to an isolated hypersurface
singularity. It is an invariant of the ambient topological-type of the hypersurface, it is …

We investigate one-parameter deformations of functions on affine space which define
parameterizable hypersurfaces. With the assumption of isolated polar activity at the origin …

In 1974, Mark Goresky and Robert MacPherson began their development of intersection
homology theory (see [24] in these volumes), and their first paper on this topic appeared in …

In this paper, we investigate the local Euler obstruction and the relative local Euler
obstruction in terms of constructible complexes of sheaves, characteristic cycles, and …

We investigate deformations of functions on affine space, deformations in which the changes
specialize to a distinguished point in the zero-locus of the original function. Such …

For a hypersurface defined by a complex analytic function, we obtain a chain complex of free
abelian groups, with ranks given in terms of relative polar multiplicities, which has …

Let (f, g) be a pair of complex analytic functions on a singular analytic space X. We give “the
correct” definition of the relative polar curve of (f, g), and we prove a very general form of Lê's …

arXiv:math/0605369v2 [math.AG] 11 Feb 2007 Page 1 arXiv:math/0605369v2 [math.AG] 11
Feb 2007 Vanishing Cycles and Thom’saf Condition ∗ David B. Massey Abstract We give a …

We prove a result on the relationship between the relative conormal space of an analytic
function f on affine space and the relative conormal space of f restricted to a hyperplane …