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 |
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| 041 | 0 | |a eng | |
| 082 | |a 516.353 | ||
| 082 | |a 510 | ||
| 100 | 1 | |a Zuo, Kang, |d 1955- | |
| 245 | 1 | 0 | |a Representations of Fundamental Groups of Algebraic Varieties |c Kang Zuo. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1708 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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... | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Représentations de groupes | ||
| 650 | |a Variétés algébriques | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Topologie algébrique | ||
| 776 | 0 | |0 060991135 |t Representations of fundamental groups of algebraic varieties |f Kang Zuo |d 1999 |c Berlin |n Springer |p 1 vol. (VIII-135 p.) |s Lecture notes in mathematics |z 3-540-66312-6 | |
| 776 | 0 | |t Representations of Fundamental Groups of Algebraic Varieties |b Texte imprimé |z 9783662179819 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0092569 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-WQX6K0R3-9 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750642998 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0092569 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753994178 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0092569 |z Accès INSA CVL | |
| 997 | |0 972302 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||