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复流形(影印版)


暂无简介


作者:
James Morrow, Kunihiko Kodaira

定价:
99.00元

出版时间:
2025-02-13

ISBN:
978-7-04-063096-1

物料号:
63096-00

读者对象:
学术著作

一级分类:
自然科学

二级分类:
数学与统计

三级分类:
几何学

重点项目:
暂无

版面字数:
330.00千字

开本:
16开

全书页数:
暂无

装帧形式:
精装
  • 前辅文
  • Chapter I. Definitions and Examples of Complex Manifolds
    • 1. Holomorphic Functions
    • 2. Complex Manifolds and Pseudogroup Structures
    • 3. Some Examples of Construction (or Description) of Compact Complex Manifolds
    • 4. Analytic Families
  • Chapter 2. Sheaves and Cohomology
    • 1. Germs of Functions
    • 2. Cohomology Groups
    • 3. Infinitesimal Deformations
    • 4. Exact Sequences
    • 5. Vector Bundles
    • 6. A Theorem of Dolbeault (A fine resolution of Ø)
  • Chapter 3. Geometry of Complex Manifolds
    • 1. Hermitian Metrics
    • 2. Norms and Dual Forms
    • 3. Norms for Holomorphic Vector Bundles
    • 4. Applications of Results on Elliptic Operators
    • 5. Covariant Differentiation on Kähler Manifolds
    • 6. Curvatures on Kähler Manifolds
    • 7. Vanishing Theorems
    • 8. Hodge Manifolds
  • Chapter 4. Applications of Eliptic Partial Differential Equations to Deformations
    • 1. Infinitesimal Deformations
    • 2. An Existence Theorem for Deformations I. (No Obstructions)
    • 3. An Existence Theorem for Deformations II. (Kuranishi's Theorem)
    • 4. Stability Theorem
  • Bibliography
  • Index
  • Errata