Representations of fundamental groups of algebraic varieties

書誌事項

Representations of fundamental groups of algebraic varieties

Kang Zuo

(Lecture notes in mathematics, 1708)

Springer, c1999

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注記

Bibliography: p. [125]-131

Includes index

内容説明・目次

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BA44673669
  • ISBN
    • 3540663126
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; Tokyo
  • ページ数/冊数
    viii, 135 p.
  • 大きさ
    24 cm
  • 親書誌ID
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