4 citations · 10 across the 5 of their papers we have counts for
5 papers
Local duality and mixed Hodge modules
Christian Schnell
We establish a relationship between the graded quotients of a filtered holonomic D-module, their sheaf-theoretic duals, and the characteristic variety, in case the filtered D-modul…
Two observations about normal functions
Christian Schnell
Two simple observations are made: (1) If the normal function associated to a Hodge class has a zero locus of positive dimension, then it has a singularity. (2) The intersection coh…
Idempotent ultrafilters and polynomial recurrence
Christian Schnell
We give a new proof of a polynomial recurrence result due to Bergelson, Furstenberg, and McCutcheon, using idempotent ultrafilters instead of IP-limits.
Primitive cohomology and the tube mapping
Christian Schnell
Let X be a smooth complex projective variety of dimension d. We show that its primitive cohomology in degree d is generated by certain "tube classes," constructed from the monodrom…
Canonical extensions of local systems
Christian Schnell
A local system H on a complex manifold M can be viewed in two ways--either as a locally free sheaf, or as a union of covering spaces T = T(H). When M is an open set in a bigger man…