Representations of fundamental groups of algebraic varieties

Author(s)
Bibliographic Information

Representations of fundamental groups of algebraic varieties

Kang Zuo

(Lecture notes in mathematics, 1708)

Springer, c1999

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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.

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Details
  • NCID
    BA44673669
  • ISBN
    • 3540663126
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; Tokyo
  • Pages/Volumes
    viii, 135 p.
  • Size
    24 cm
  • Parent Bibliography ID
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