Global Aspects of Complex Geometry

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, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry.
Written by established experts this book is a must for mathematicians working in Complex Geometry.

List 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.

Summary

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, Kähler 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

Product details

• Assisted by: Fabrizio Catanese (Editor), Hélèn Esnault (Editor), Hélène Esnault (Editor), Alan Huckleberry (Editor), Alan T. Huckleberry (Editor), Alan Huckleberry et al (Editor), Klaus Hulek (Editor), Thomas Peternell (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 06.10.2010
• EAN: 9783642071317
• ISBN: 978-3-642-07131-7
• No. of pages: 506
• Dimensions: 155 mm x 27 mm x 235 mm
• Weight: 774 g
• Illustrations: VIII, 506 p.
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; C, Mathematics and Statistics, Algebraic Geometry, Varieties in higher Diemsions, algebraic varieties, Moduli Spaces, Kähler Geometry