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, K?hler 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
Author(s): Editors: F. Catanese, H. Esnault, A. Huckleberry, K. Hulek and T. Peternell
Edition: 1
Year: 2006
Language: English
Pages: 514
Contents......Page 6
Complex Surfaces of General Type: Some Recent Progress......Page 8
Characteristic 0 and p Analogies, and some Motivic Cohomology......Page 66
Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves......Page 90
Indices of Vector Fields and 1-Forms on Singular Varieties......Page 136
Equisingular Families of Projective Curves......Page 177
Critical Points of the Square of the Momentum Map......Page 216
Actions on Flag Manifolds: Related Cycle Spaces......Page 232
Modularity of Calabi-Yau Varieties......Page 276
Some Recent Developments in the Classification Theory of Higher Dimensional Manifolds......Page 315
Existence of Rational Curves on Algebraic Varieties, Minimal Rational Tangents, and Applications......Page 362
Special Families of Curves, of Abelian Varieties, and of Certain Minimal Manifolds over Curves......Page 420
Hodge Theory and Algebraic Cycles......Page 454
Kähler Geometry of Moduli Spaces of Holomorphic Vector Bundles......Page 473
C......Page 501
F......Page 502
I......Page 503
M......Page 504
P......Page 505
S......Page 506
V......Page 507
Z......Page 508
