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Complex manifolds and deformation theory.

by Yeung Chung Kuen. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 104-105). / Chapter 1 --- Infinitesimal Deformation of Compact Complex Manifolds --- p.3 / Chapter 1.1 --- Differentiable Family --- p.3 / Chapter 1.2 --- Infinitesimal Deformation in Differentiable Family --- p.6 / Chapter 1.3 --- Trivial Differentiable Family --- p.8 / Chapter 1.4 --- Complex Analytic Family --- p.13 / Chapter 1.5 --- Induced Family --- p.19 / Chapter 2 --- Theorem of Existence --- p.22 / Chapter 2.1 --- Introduction --- p.22 / Chapter 2.2 --- "Some Facts on the qth Cohomology Group Hq(M,´ة)" --- p.23 / Chapter 2.3 --- Obstructions to Deformation --- p.24 / Chapter 2.4 --- An Elementary Method for Theorem of Existence --- p.26 / Chapter 2.5 --- Proof of Theorem of Existence --- p.35 / Chapter 3 --- "Comparison between the Number of Moduli m(M) and dim H1 (M,´ة)" --- p.64 / Chapter 3.1 --- Number of Moduli of Compact Complex Manifold --- p.64 / Chapter 3.2 --- Examples --- p.68 / Chapter 4 --- Theorem of Completeness --- p.84 / Chapter 4.1 --- Theorem of Completeness --- p.84 / Chapter 4.2 --- Construction of Formal Power Series of h and g --- p.86 / Chapter 4.3 --- Proof of Convergence --- p.93

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_321995
Date January 1997
ContributorsYeung, Chung Kuen., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 105 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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