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.
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. Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Artikelnr. des Verlages: 11762867, 978-3-540-35479-6
2006
Seitenzahl: 516
Erscheinungstermin: 4. August 2006
Englisch
Abmessung: 241mm x 160mm x 33mm
Gewicht: 878g
ISBN-13: 9783540354796
ISBN-10: 3540354794
Artikelnr.: 20879648
Autorenporträt
Fabrizio Catanese, University of Bayreuth, Germany / Hélène Esnault, University of Duisburg-Essen, Essen, Germany / Alan T. Huckleberry, Ruhr-University Bochum, Germany / Klaus Hulek, University of Hannover, Germany / Thomas Peternell, University of Bayreuth, Germany
Inhaltsangabe
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.
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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