3 papers
math.AG2018
The Weight Filtration on the Constant Sheaf on a Parameterized Space
Brian Hepler
On an -dimensional locally reduced complex analytic space on which the shifted constant sheaf $\Q_X^\bullet[n]$ is perverse, it is well-known that, locally, $\Q_X^\bullet[n]…
math.AG2018
Rational Homology Manifolds and Hypersurface Normalizations
Brian Hepler
We prove a criterion for determining whether the normalization of a complex analytic space on which the constant sheaf is perverse is a rational homology manifold, using a perverse…
math.AG2016
Perverse Results on Milnor Fibers inside Parameterized Hypersurfaces
Brian Hepler, David B. Massey
We discuss some results on parameterized hypersurfaces which follow quickly from results in the category of perverse sheaves