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Some vanishing theorems on non-compact complex spaces.January 1980 (has links)
by Cheung Wing Sum. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1980. / Bibliography: leaves 94-98.
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Topics in complex differential geometry.January 1987 (has links)
by Lung Tak Yee. / Thesis (M.Ph.)--Chinese University of Hong Kong, 1987. / Bibliography: leaves 80-82.
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Deformation theory of compact complex manifolds and CR manifolds.January 2006 (has links)
Ng Wai Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 87-88). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Infinitesimal Deformations for Compact Complex Manifolds --- p.4 / Chapter 2.1 --- Differentiable Family --- p.4 / Chapter 2.2 --- Local Triviality --- p.7 / Chapter 2.3 --- Complex Analytic Family and Deformations --- p.10 / Chapter 3 --- Existence Theorem --- p.15 / Chapter 3.1 --- Obstructions as a Necessary Condition --- p.15 / Chapter 3.2 --- The Existence Theorem --- p.16 / Chapter 3.3 --- Convergence Proof --- p.21 / Chapter 4 --- Completeness Theorem --- p.26 / Chapter 4.1 --- The Completeness Theorem --- p.26 / Chapter 4.2 --- Construction of Formal Power Series --- p.28 / Chapter 4.3 --- Convergence Proof --- p.32 / Chapter 4.4 --- Effective Parameters and Number of Moduli --- p.36 / Chapter 4.5 --- Examples --- p.40 / Chapter 5 --- CR Manifolds and Deformations --- p.42 / Chapter 5.1 --- CR Submanifolds and Tangential Complex --- p.42 / Chapter 5.2 --- Abstract CR Manifolds and its Cohomologies --- p.47 / Chapter 5.3 --- Strongly Pseudoconvex Manifolds --- p.51 / Chapter 5.4 --- Differentiable Family --- p.53 / Chapter 6 --- Stability Theorems --- p.55 / Chapter 6.1 --- Semi-continuity Theorem --- p.56 / Chapter 6.1.1 --- The Case of Compact Complex Manifolds --- p.56 / Chapter 6.1.2 --- The s.p.c. Compact CR Case --- p.63 / Chapter 6.2 --- Other Stability Theorems for Complex Manifolds --- p.66 / Chapter A --- The Complex Laplacian ´بa --- p.72 / Chapter B --- Hodge-Dolbeault Theorem --- p.77 / Chapter C --- Proof of Theorem 6.2 --- p.79 / Chapter D --- Subelliptic Estimates of --- p.82 / Bibliography --- p.87
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The Kodaira vanishing theorem and generalizations /Poon, Wai-hoi, Bobby. January 2002 (has links)
Thesis (M. Phil.)--University of Hong Kong, 2002. / Includes bibliographical references (leaves 100-102).
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Absence of jump of complex structures on Fano hypersurfaces under certain conditionsLam, Yan-ting., 林殷霆. January 2011 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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The Kodaira vanishing theorem and generalizations潘維凱, Poon, Wai-hoi, Bobby. January 2002 (has links)
published_or_final_version / abstract / toc / Mathematics / Master / Master of Philosophy
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Construction of plurisubharmonic functions on complete Kähler manifolds黃永儀, Wong, Wing-yee, Simon. January 2000 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Construction of plurisubharmonic functions on complete Kähler manifolds /Wong, Wing-yee, Simon. January 2000 (has links)
Thesis (M. Phil.)--University of Hong Kong, 2000. / Includes bibliographical references (leaves 79-82).
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Curvature of Kaehler Manifolds.January 1995 (has links)
by Tsang Yau Shing. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 79-83). / Contents --- p.1 / Chapter Chapter 0 --- Introduction --- p.1 / Chapter Chapter 1. --- Elliptic Case --- p.4 / Chapter 1.1 --- Existence of energy minimizing maps --- p.6 / Chapter 1.2 --- Complex analyticity of energy minimizing maps --- p.9 / Chapter 1.3 --- Holomorphic deformation of rational curves --- p.15 / Chapter 1.4 --- End of proof and further remarks --- p.25 / Chapter Chapter 2. --- Parabolic Case --- p.30 / Chapter 2.1 --- Construction of non-vanishing holomorphic n-form --- p.32 / Chapter 2.2 --- Construction of functions of minimal degree --- p.50 / Chapter 2.3 --- Construction of biholomorphism using minimal degree functions --- p.53 / Chapter Chapter 3. --- Hyperbolic Case --- p.59 / Chapter 3.1 --- Various types of negative curvature conditions --- p.61 / Chapter 3.2 --- A Bochner type identity --- p.63 / Chapter 3.3 --- Complex analyticity of harmonic maps --- p.66 / Chapter 3.4 --- Bounded symmetric domains --- p.73 / Chapter 3.5 --- "Strong ""rigidity"" and other applications" --- p.76 / Bibliography --- p.79
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Variations and uniform compactifications of fibers on Stein spacesChan, Shu-fai., 陳澍輝. January 2006 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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