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math.AG2024
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.
math.AG2024
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…
math.AG2024
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…
math.AG2024
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.