6 papers · 1 filter
Lê modules and hypersurfaces with one-dimensional singular sets
David B. Massey
By using our previous results on Lê modules and an upper-bound on the betti numbers which we proved with Lê, we investigate the cohomology of Milnor fibers and the internal local s…
A Note on Numerical Perverse Sheaves
David B. Massey
We define and describe the properties of a class of perverse sheaves which is very useful when the base ring is not a field.
Relative Polar Multiplicities and the Real Link
David B. Massey
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 c…
Minkowski Inequalities and non-isolated hypersurface singularities
David B. Massey
We derive a number of inequalities involving Lê numbers of non-isolated hypersurface singularities. In particular, we derive Lê-Iomdine formulas with inequalities and use these, to…
The Intermediate Extension, Vanishing Cycles, and Perverse Eigenspace of One
David B. Massey
We prove a number of results involving the kernel of the identity minus the monodromy on the vanishing cycles.
Gap Sheaves and Vogel Cycles
David B. Massey
Throughout our work on the Lê cycles of an affine hypersurface singularity, our primary algebraic tool consisted of a method for taking the Jacobian ideal of a complex analytic fun…