Weak positivity for Hodge modules

Abstract

We prove the weak positivity of the kernels of Kodaira-Spencer- type maps for pure Hodge module extensions of generically defined variations of Hodge structure.

11 pages; final version, with a few corrections and expository improvements

References in corpus (3)

• An overview of Morihiko Saito's theory of mixed Hodge modules
• Some remarks on the semi-positivity theorems
• Vanishing and injectivity theorems for Hodge modules