Hodge modules on Shimura varieties and their higher direct images in the Baily-Borel compactification

@inproceedings{Burgos2004HodgeMO,
  title={Hodge modules on Shimura varieties and their higher direct images in the Baily-Borel compactification},
  author={Jos{\'e} Burgos and J{\"o}rg Wildeshaus},
  year={2004}
}
We study the degeneration in the Baily–Borel compactification of variations of Hodge structure on Shimura varieties. Our main result Theorem 2.6 expresses the degeneration of variations given by algebraic representations in terms of Hochschild, and abstract group cohomology. It is the Hodge theoretic analogue of Pink’s theorem on degeneration of étale and l… CONTINUE READING