Representations of Fundamental Groups of Algebraic Varieties
Springer Berlin (Verlag)
978-3-540-66312-6 (ISBN)
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...
| Erscheint lt. Verlag | 15.12.1999 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | X, 135 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 201 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | Algebra • Algebraic Varieties • algebraic variety • fundamental group • harmonic map • Hodge Theory • Mannigfaltigkeit (Mathematik) • moduli space • vector bundle |
| ISBN-10 | 3-540-66312-6 / 3540663126 |
| ISBN-13 | 978-3-540-66312-6 / 9783540663126 |
| Zustand | Neuware |
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