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＜電子ブック＞
Calabi-Yau Manifolds and Related Geometries : Lectures at a Summer School in Nordfjordeid, Norway, June 2001 / by Mark Gross, Daniel Huybrechts, Dominic Joyce ; edited by Geir Ellingsrud, Loren Olson, Kristian Ranestad, Stein A. Stromme
(Universitext. ISSN:21916675)

版	1st ed. 2003.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2003
大きさ	VIII, 244 p. 2 illus : online resource
著者標目	*Gross, Mark author Huybrechts, Daniel author Joyce, Dominic author Ellingsrud, Geir editor Olson, Loren editor Ranestad, Kristian editor Stromme, Stein A editor SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Algebraic geometry LCSH:Topology FREE:Differential Geometry FREE:Algebraic Geometry FREE:Topology
一般注記	I. Riemannian Holonomy Groups and Calibrated Geometry -- 1 Introduction -- 2 Introduction to Holonomy Groups -- 3 Berger’s Classification of Holonomy Groups -- 4 Kahler Geometry and Holonomy -- 5 The Calabi Conjecture -- 6 The Exceptional Holonomy Groups -- 7 Introduction to Calibrated Geometry -- 8 Calibrated Submanifolds in ?n -- 9 Constructions of SL m-folds in ?m -- 10 Compact Calibrated Submanifolds -- 11 Singularities of Special Lagrangian m-folds -- 12 The SYZ Conjecture, and SL Fibrations -- II. Calabi-Yau Manifolds and Mirror Symmetry -- 13 Introduction -- 14 The Classical Geometry of Calabi-Yau Manifolds -- 15 Kahler Moduli and Gromov-Witten Invariants -- 16 Variation and Degeneration of Hodge Structures -- 17 A Mirror Conjecture -- 18 Mirror Symmetry in Practice -- 19 The Strominger-Yau-Zaslow Approach to Mirror Symmetry -- III. Compact Hyperkähler Manifolds -- 20 Introduction -- 21 Holomorphic Symplectic Manifolds -- 22 Deformations of Complex Structures -- 23 The Beauville-Bogomolov Form -- 24 Cohomology of Compact Hyperkähler Manifolds -- 25 Twistor Space and Moduli Space -- 26 Projectivity of Hyperkähler Manifolds -- 27 Birational Hyperkähler Manifolds -- 18 The (Birational) Kahler Cone -- References HTTP:URL=https://doi.org/10.1007/978-3-642-19004-9

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