Mixed Hodge complexes and L2-cohomology for local systems on ball quotients
Stefan Müller-Stach, Xuanming Ye, Kang Zuo
| Number | 21 |
|---|---|
| Authors |
Xuanming Ye
Kang Zuo Stefan Müller-Stach |
| Year | 2011 |
We study the $L^2$--cohomology of certain local systems on non-compact arithmetic ball quotients $X=\Gamma \backslash \B_n$, in particular vanishing and non--vanishing results. We also give generalizations to higher dimensional ball quotients and study the mixed Hodge structure on the sheaf cohomology of a local system with the $L^2$-cohomology contributing to the lowest weight part.
