Representations of Fundamental Groups of Algebraic Varieties

• Κύριος συγγραφέας: Zuo, Kang (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Έκδοση: 1st ed. 1999.
• Σειρά: Lecture Notes in Mathematics, 1708
• Θέματα: Algebraic geometry.; Applied mathematics.; Engineering mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Algebraic topology.; Algebraic Geometry.; Applications of Mathematics.; Global Analysis and Analysis on Manifolds.; Algebraic Topology.

Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties. The reader should have a basic knowledge of algebraic geometry and non-linear analysis. T...

Πίνακας περιεχομένων:

• 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...