36 citations · 193 across the 40 of their papers we have counts for
8 papers · 1 filter
Fields of definition of Hodge loci
Morihiko Saito, Christian Schnell
We show that an irreducible component of the Hodge locus of a polarizable variation of Hodge structure of weight 0 on a smooth complex variety X is defined over an algebraically cl…
On Saito's vanishing theorem
Christian Schnell
We reprove Saito's vanishing theorem for mixed Hodge modules by the method of Esnault and Viehweg. The main idea is to exploit the strictness of direct images on certain branched c…
Graded duality for filtered D-modules
Morihiko Saito, Christian Schnell
For a coherent filtered D-module we show that the dual of each graded piece over the structure sheaf is isomorphic to a certain graded piece of the ring-theoretic local cohomology…
An overview of Morihiko Saito's theory of mixed Hodge modules
Christian Schnell
After explaining the definition of pure and mixed Hodge modules on complex manifolds, we describe some of Saito's most important results and their proofs, and then discuss two simp…
On direct images of pluricanonical bundles
Mihnea Popa, Christian Schnell
We show that techniques inspired by Kollár and Viehweg's study of weak positivity, combined with vanishing theorems for log-canonical pairs, lead to new consequences regarding gene…
The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
Michael R. Douglas, Daniel S. Park, Christian Schnell
It is well understood --- through string dualities --- that there are 20 massless vector fields in the spectrum of eight-dimensional F-theory compactifications on smooth elliptical…