Complex Geometry - an Introduction

1. Auflage 2004
ISBN: 978-3-540-21290-4
Verlag: Springer-Verlag GmbH

Buch, Englisch, 314 Seiten, Format (B × H): 154 mm x 233 mm, Gewicht: 1020 g

Reihe: uniext

Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists.

The author’s goal is to provide an easily accessible introduction to the subject. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions.

Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris.

Zielgruppe

Graduate

Autoren/Hrsg.

Huybrechts, Daniel

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

Local Theory.- Complex Manifolds.- Kähler Manifolds.- Vector Bundles.- Applications of Cohomology.- Deformations of Complex Structures.

Über Autor(innen)

Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris.

Brief career details:

Studies of math at Humboldt University Berlin and Max-=Planck-Institute Bonn 1985-1992.

Post-doctorial positions at Inst. for Advanced Study Priceton, Ecole Normale Supérieure Paris, Max-Planck-Inst Bonn, University Essen, IHES Paris.

Professor: Cologne 1998-2002, Paris since 2002.