Spencer / Iyanaga Global Analysis

Papers in Honor of K. Kodaira
1. Auflage 2015
ISBN: 978-1-4008-7123-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 424 Seiten

Reihe: Princeton Mathematical Series

Global analysis describes diverse yet interrelated research areas in analysis and algebraic geometry, particularly those in which Kunihiko Kodaira made his most outstanding contributions to mathematics. The eminent contributors to this volume, from Japan, the United States, and Europe, have prepared original research papers that illustrate the progress and direction of current research in complex variables and algebraic and differential geometry. The authors investigate, among other topics, complex manifolds, vector bundles, curved 4-dimensional space, and holomorphic mappings. Bibliographies facilitate further reading in the development of the various studies.

Originally published in 1970.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Autoren/Hrsg.

Spencer, Donald Clayton

Iyanaga, Shokichi

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines

Inhaltsverzeichnis

Frontmatter, pg. i
Foreword, pg. v
Table of Contents, pg. vii
The second Lefschetz theorem on hyperplane sections, pg. 1
Algebraization of formal moduli: I, pg. 21
The signature of fibre-bundles, pg. 73
On Hensel's lemma and exponential sums, pg. 85
An intrinsic characterization of harmonic one-forms, pg. 101
Intrinsic norms on a complex manifold, pg. 119
On the area of complex manifolds, pg. 141
On the deformation of sheaves of rings, pg. 149
Die Azyklizitat der affinoiden tlberdeckungen, pg. 159
Hermitian differential geometry, Chern classes, and positive vector bundles, pg. 185
The signature of ramified coverings, pg. 253
Deformations of compact complex surfaces, pg. 267
On the volume of polyhedra, pg. 273
On the resolution of certain holomorphic mappings, pg. 289
Harmonic integrals for differential complexes, pg. 295
A note on families of complex structures, pg. 309
A survey of some results on complex Kahler manifolds, pg. 315
Enriques' classification of surfaces in char p: I, pg. 325
On modular imbeddings of a symmetric domain of type (IV), pg. 341
The curvature of 4-dimensional Einstein spaces, pg. 355
On deformation of pseudogroup structures, pg. 367
Sur les variétés d'ordre fini, pg. 397
Obstructions to the existence of a space of moduli, pg. 403