Global Analysis: Papers in Honor of K. Kodaira (PMS-29) (Princeton Mathematical Series Book 16)

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. Cover Table of Contents Aldo Andreotti and Theodore Frankel. The Second Lefschetz Theorem on Hyperplane Sections M. Artin. Algebraization of Formal Moduli: I M. F. Atiyah. The Signature of Fibre-Bundles Walter L. Baily, Jr. On Hensel's Lemma and Exponential Sums Eugenio Calabi. An Intrinsic Characterization of Harmonic One-Forms S. S. Chern, Harold I. Levine, and Louis Nirenberg. Intrinsic Norms on a Complex Manifold G. De Rham. On the Area of Complex Manifolds Murray Gerstenhaber. On the Deformation of Sheaves of Rings Lothar Gerritzen and Hans Grauert. Die Azyklizität Der Affinoiden Überdeckungen Phillip A. Griffiths. Hermitian Differential Geometry, Chern Classes, and Positive Vector Bundles F. Hirzebruch. The Signature of Ramified Coverings Shigeru Iitaka. Deformations of Compact Complex Surfaces S. Iyanaga. On the Volume of Polyhedra Arnold Kas. On the Resolution of Certain Holomorphic Mappings J. J. Kohn. Harmonic Integrals for Differential Complexes Masatake Kuranishi. A Note on Families of Complex Structures James A. Morrow. A Survey of Some Results on Complex Kahler Manifolds David Mumford. Enriques' Classification of Surfaces in Char Ρ : 1 Ichiro Satake. On Modular Imbeddings of a Symmetric Domain of Type (IV) I. Μ. Singer and J. A. Thorpe. The Curvature of 4-Dimensional Einstein Spaces D. C. Spencer. On Deformation of Pseudogroup Structures René Thom. Sur Ies Variétés D'ordre Fini John J. Wavrik. Obstructions to the Existence of a Space of Moduli 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 paperback editions preserve the original texts of these important books while presenting them in durable paperback 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