4 citations · 10 across the 5 of their papers we have counts for
6 papers · 1 filter
Notes on absolute Hodge classes
François Charles, Christian Schnell
We survey the theory of absolute Hodge classes. The notes include a full proof of Deligne's theorem on absolute Hodge classes on abelian varieties as well as a discussion of other…
Canonical cohomology as an exterior module
Robert Lazarsfeld, Mihnea Popa, Christian Schnell
We show that the total cohomology of the canonical bundle of a smooth projective variety, seen as a module over an exterior algebra, splits into a natural direct sum of submodules…
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…
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…