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K�ahler metric and moduli spaces /

K�ahler Metric and Moduli Spaces, Volume 18-II covers survey notes from the expository lectures given during the seminars in the academic year of 1987 for graduate students and mature mathematicians who were not experts on the topics considered during the sessions about partial differenti...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Ochiai, Takushiro (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Tokyo, Japan : Kinokuniya Company Ltd., 1990.
Colección:Advanced studies in pure mathematics (Tokyo, Japan) ; 18-II.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a K�ahler metric and moduli spaces /  |c edited by T. Ochiai. 
264 1 |a Tokyo, Japan :  |b Kinokuniya Company Ltd.,  |c 1990. 
264 2 |a San Diego, California :  |b Academic Press, Inc.,  |c [date of distribution not identified] 
264 4 |c �1990 
300 |a 1 online resource (472 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Advanced Studies in Pure Mathematics ;  |v 18-II 
500 |a "Symposia will be provisionally based at the Department of Mathematics of Nagoya Univeristy, and the proceedings of the symposia will be published under the title Advanced studies in pure mathematics." 
504 |a Includes bibliographical references at the end of each chapters. 
588 0 |a Online resource; title from PDF title page (ebrary, viewed November 20, 2014). 
505 0 |a Front Cover; K�ahler Metric and Moduli Spaces; Copyright Page; Foreword; Preface to the Present Volume; Table of Contents; Chapter 1. Einstein Metrics in Complex Geometry: An Introduction; 1. Einstein-K�ahler metrics and Calabi's Conjecture; 2. Einstein-K�ahler metrics for compact Riemann surfaces; 3. Birational moduli of algebraic surfaces of general type; 4. Uniformization by Miyaoka-Van de Ven-Yau's inequality; 5. Einstein-Hermitian metrics and stable vector bundles; References; Chapter 2. Einstein-K�ahler Metrics with Positive Ricci Curvature; Introduction. 
505 8 |a 1. Matsushima's obstruction and Kobayashi's semistability2. Futaki's obstruction F; 3. Symplectic geometry and the character F; 4. Chern-Simons invariants and the group lifting of F; 5. The uniqueness theorem; 6. Existence of Einstein-K�ahler metrics I; 7. Existence of Einstein-K�ahler metrics II; Appendix; References; Chapter 3. On Tangent Sheaves of Minimal Varieties; 1. Terminologies; 2. Construction of degenerate Einstein-K�ahler metrics; 3. Stability for tangent sheaves of minimal varieties; 4. An inequality between Chern numbers; 5. A criterion for stability; References. 
505 8 |a Chapter 4. Einstein K�ahler Metrics of Negative Ricci Curvature on Open Kahler ManifoldsIntroduction; 1. Calabi's construction; 2. V-manifolds; 3. Schauder estimates; 4. Monge-Amp�ere equations on V-manifolds; 5. On quasi-projective manifolds; 6. Miyaoka-Yau inequality; References; Chapter 5. Ricci-Flat K�ahler Metrics on Affine Algebraic Manifolds and Degenerations of K�ahler-Einstein K3 Surfaces; Abstract; 0. Introduction; 1. Some K�ahler geometry; 2. Ricci-flat K�ahler metrics on affine algebraic manifolds; References; Chapter 6. Compact Ricci-Fiat K�ahler Manifolds; 1. Bogomolov decomposition. 
505 8 |a 2. Deformation3. Symplectic manifolds; 4. Period map and Weil-Peterson metric; 5. Examples; References; Chapter 7. Moduli of Einstein Metrics on a K3 Surface and Degeneration of Type I; Abstract; 0. Preliminaries; 1. The moduli of K�ahler-Einstein K3 surfaces; 2. Ricci-flat K3 surfaces with concentrated curvature; References; Chapter 8. Uniformization of Complex Surfaces; Abstract; 0. Introduction; 1. K�ahler-Einstein metrics and uniformization; 2. Holomorphic G-structures and uniformization; 3. Numerical characterization of ball quotients for normal surfaces with branch loci. 
505 8 |a 4. GHCS and uniformization of complex surfaces5. Appendix; References; Yang-Mills Connections and Einstein -- Hermitian Metrics; Introduction; Chapter 1. Notation and Preliminaries; 1.1. Yang-Mills functional and Yang-Mills connections; 1.2. Self-dual connections; 1.3. Einstein-Hermitian connections; 1.4. Moment maps; Chapter 2. Local Goometries of Moduli Spaces; 2.1. Smooth structure on moduli space; 2.2. Complex K�ahler structure on moduli spaces; 2.3. Hyperk�ahler structure of the moduli space; Chapter 3. Twistor Theory and Yang-Mills Connection. 
520 |a K�ahler Metric and Moduli Spaces, Volume 18-II covers survey notes from the expository lectures given during the seminars in the academic year of 1987 for graduate students and mature mathematicians who were not experts on the topics considered during the sessions about partial differential equations. The book discusses basic facts on Einstein metrics in complex geometry; Einstein-K�ahler metrics with positive or non-positive Ricci curvature; Yang-Mills connections; and Einstein-Hermitian metrics. The text then describes the tangent sheaves of minimal varieties; Ricci-Flat K�ahler metrics on affi. 
650 0 |a K�ahlerian structures  |v Congresses. 
650 0 |a Moduli theory  |v Congresses. 
650 6 |a Structures k�ahl�eriennes  |0 (CaQQLa)201-0064358  |v Congr�es.  |0 (CaQQLa)201-0378219 
650 6 |a Th�eorie des modules  |0 (CaQQLa)201-0017103  |v Congr�es.  |0 (CaQQLa)201-0378219 
650 7 |a MATHEMATICS  |x Geometry  |x General.  |2 bisacsh 
650 7 |a K�ahlerian structures  |2 fast  |0 (OCoLC)fst00989677 
650 7 |a Moduli theory  |2 fast  |0 (OCoLC)fst01024524 
650 7 |a K�ahler-Einstein-Metrik  |2 gnd  |0 (DE-588)4193456-8 
650 7 |a Modulraum  |2 gnd  |0 (DE-588)4183462-8 
650 7 |a Aufsatzsammlung  |2 gnd  |0 (DE-588)4143413-4 
650 7 |a Structures k�ahl�eriennes.  |2 ram 
650 7 |a Modules, th�eorie des.  |2 ram 
650 7 |a Espaces m�etriques.  |2 ram 
650 7 |a Einstein, vari�et�es d'.  |2 ram 
653 0 |a Geometry 
655 2 |a Congress  |0 (DNLM)D016423 
655 7 |a proceedings (reports)  |2 aat  |0 (CStmoGRI)aatgf300027316 
655 7 |a Conference papers and proceedings  |2 fast  |0 (OCoLC)fst01423772 
655 7 |a Conference papers and proceedings.  |2 lcgft 
655 7 |a Actes de congr�es.  |2 rvmgf  |0 (CaQQLa)RVMGF-000001049 
700 1 |a Ochiai, Takushiro,  |e editor. 
776 0 8 |i Print version:  |t K�ahler metric and moduli spaces.  |d Tokyo, Japan : Kinokuniya Company Ltd., �1990  |h 457 pages  |k Advanced studies in pure mathematics (Tokyo, Japan) ; 18-II.  |z 9780120010110 
830 0 |a Advanced studies in pure mathematics (Tokyo, Japan) ;  |v 18-II. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780120010110  |z Texto completo