Overview

This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kahler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry

Full Product Details

Author:   Fabrizio Catanese ,  Hélène Esnault ,  Alan Huckleberry ,  Klaus Hulek
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2006 ed.
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   1.980kg
ISBN:  

9783540354796

ISBN 10:   3540354794
Pages:   506
Publication Date:   04 August 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Complex Surfaces of General Type: Some Recent Progress.- Characteristic 0 and p Analogies, and some Motivic Cohomology.- Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves.- Indices of Vector Fields and 1-Forms on Singular Varieties.- Equisingular Families of Projective Curves.- Critical Points of the Square of the Momentum Map.- Actions on Flag Manifolds: Related Cycle Spaces.- Modularity of Calabi-Yau Varieties.- Some Recent Developments in the Classification Theory of Higher Dimensional Manifolds.- Existence of Rational Curves on Algebraic Varieties, Minimal Rational Tangents, and Applications.- Special Families of Curves, of Abelian Varieties, and of Certain Minimal Manifolds over Curves.- Hodge Theory and Algebraic Cycles.- Kähler Geometry of Moduli Spaces of Holomorphic Vector Bundles.

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