Author | Zuo, Kang. author |
---|---|
Title | Representations of Fundamental Groups of Algebraic Varieties [electronic resource] / by Kang Zuo |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1999 |
Connect to | http://dx.doi.org/10.1007/BFb0092569 |
Descript | X, 135 p. online resource |
Introduction -- Preliminaries -- Review of Algebraic groups over arbitrary fields -- Representations of phi1 and the Moduli space -- p-adic norm on a vector space and Bruhat-Tits buildings -- Harmonic metric on flat vector bundle -- Pluriharmonic map of finite energy -- Pluriharmonic maps of possibly infinite energy but with controlled growth at infinity -- Non-abelian Hodge theory, factorization theorems for non rigid or p-adic unbound representations -- Higgs bundles for archimedean representations and equivariant holomorphic 1-forms for p-adic representations -- Albanese maps and a Lefschetz type theorem for holomorphic 1-forms -- Factorizations for nonrigid representations into almost simple complex algebraic groups -- Factorization for p-adic unbounded representations into almost simple p-adic algebraic groups -- Simpson's construction of families on non rigid representations -- Shavarevich maps for representations of phi1, Kodaira dimension and Chern-hyperbolicity of Shavarevich varieties..