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. This book can form the basis for graduate level seminars in the area of topology of algebraic varieties. It also contains present new techniques for researchers working in this area.

Bibliographic Information

Book Title: Representations of Fundamental Groups of Algebraic Varieties
Authors: Kang Zuo
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0092569
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1999
Softcover ISBN: 978-3-540-66312-6Published: 15 December 1999
eBook ISBN: 978-3-540-48424-0Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 135
Topics: Algebraic Geometry, Applications of Mathematics, Global Analysis and Analysis on Manifolds, Algebraic Topology

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Representations of Fundamental Groups of Algebraic Varieties

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Table of contents (5 chapters)

Front Matter

Introduction

Preliminaries

Harmonic metrics on flat vector bundles

Non-abelian Hodge theory, factorization theorems for non rigid or p-adic unbounded representations

Shafarevich maps for representations of fundamental groups, Kodaira dimension and Chernhyperbolicity of Shafarevich varieties

Back Matter

Keywords

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