Representations of fundamental groups of algebraic varieties
Author(s)
Bibliographic Information
Representations of fundamental groups of algebraic varieties
(Lecture notes in mathematics, 1708)
Springer, c1999
Available at / 80 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||170878889445
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Note
Bibliography: p. [125]-131
Includes index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"