Representations of Fundamental Groups of Algebraic Varieties
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. T...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture notes in mathematics
1708 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Representations of fundamental groups of algebraic varieties, Kang Zuo, 1999, Berlin, Springer, 1 vol. (VIII-135 p.), Lecture notes in mathematics, 3-540-66312-6 • Representations of Fundamental Groups of Algebraic Varieties, Texte imprimé, 9783662179819 |
İçindekiler:
- 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...