Representations of Fundamental Groups of Algebraic Varieties / by Kang Zuo
(Lecture Notes in Mathematics ; 1708)
| データ種別 | 電子ブック |
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| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
| 出版年 | 1999 |
| 本文言語 | 英語 |
| 大きさ | X, 135 p : online resource |
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| 内容注記 | 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... |
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| 一般注記 | 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 |
| 著者標目 | *Zuo, Kang author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebraic geometry LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Applied mathematics LCSH:Engineering mathematics LCSH:Algebraic topology FREE:Mathematics FREE:Algebraic Geometry FREE:Applications of Mathematics FREE:Global Analysis and Analysis on Manifolds FREE:Algebraic Topology |
| 分 類 | DC23:516.35 |
| 巻冊次 | ISBN:9783540484240 
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| ISBN | 9783540484240 |
| URL | http://dx.doi.org/10.1007/BFb0092569 |
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