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Complex Geometry - an Introduction

  • Kartonierter Einband
  • 309 Seiten
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Leseprobe
Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the cros... Weiterlesen
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Beschreibung

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.



This is an easily accessible introduction to the subject that can be read as a first year graduate course or even earlier. It assumes very little knowledge of differentiable manifolds and functional analysis and includes coverage of recent developments. Particular emphasis is on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma). This textbook is suited for graduate students and undergraduate students in mathematics and theoretical physics.



Autorentext

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.



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

Produktinformationen

Titel: Complex Geometry - an Introduction
Untertitel: An Introduction, Universitext
Autor:
EAN: 9783540212904
ISBN: 3540212906
Format: Kartonierter Einband
Herausgeber: Springer-Verlag GmbH
Veröffentlichung: 01.09.2004
Anzahl Seiten: 309
Gewicht: 519g
Größe: H233mm x B154mm x T22mm
Jahr: 2004
Untertitel: Englisch
Auflage: 2005
Land: DE

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