Mixed Hodge complexes and \(L^2\)-cohomology for local systems on ball quotients

zbMath1254.14027arXiv0707.3084MaRDI QIDQ455501

Kang Zuo, Stefan Müller-Stach, Xuanming Ye

Publication date: 22 October 2012

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3084

zbMATH Keywords

Higgs bundlemixed Hodge theoryShimura varietymonodromy representationBall quotient

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Modular and Shimura varieties (14G35) Uniformization of complex manifolds (32Q30)

Related Items (2)

Symmetric differentials, Kähler groups and ball quotients ⋮ Picard modular forms and the cohomology of local systems on a Picard modular surface

This page was built for publication: Mixed Hodge complexes and \(L^2\)-cohomology for local systems on ball quotients