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Global Aspects of Complex Geometry

Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783540354802
Veröffentl:
2006
Seiten:
506
Autor:
Fabrizio Catanese
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

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.
"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.
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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