Complex Analysis and Algebraic Geometry: A Collection of Papers Dedicated to K. Kodaira

doi:10.1017/CBO9780511569197

The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.

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Contents

Frontmatter
pp i-vi
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Foreword
pp vii-viii
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List of Contributors
pp ix-x
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Contents
pp xi-xii
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Introduction (by K. Ueno and T. Shioda)
pp 1-8
- By K. Ueno, T. Shioda
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Part I
pp 9-10
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Coverings of the Rational Double Points in Characteristic p
pp 11-22
- By M. Artin
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Enriques' Classification of Surfaces in Char. p, II
pp 23-42
- By E. Bombieri, D. Mumford
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Classification of Hilbert Modular Surfaces
pp 43-78
- By F. Hirzebruch, D. Zagier
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On Algebraic Surfaces with Pencils of Curves of Genus 2
pp 79-90
- By E. Horikawa
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New Surfaces with No Meromorphic Functions, II
pp 91-106
- By M. Inoue
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On the Deformation Types of Regular Elliptic Surfaces
pp 107-112
- By A. Kas
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On Numerical Campedelli Surfaces
pp 113-118
- By Y. Miyaoka
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On Singular K3 Surfaces
pp 119-136
- By T. Shioda, H. Inose
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On the Minimality of Certain Hilbert Modular Surfaces
pp 137-150
- By G. van der Geer, A. Van de Ven
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Part II
pp 151-152
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Complex Structures on S2p+1 × S2q+1 with Algebraic Codimension 1
pp 153-164
- By K. Akao
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Defining Equations for Certain Types of Polarized Varieties
pp 165-174
- By T. Fujita
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On Logarithmic Kodaira Dimension of Algebraic Varieties
pp 175-190
- By S. Iitaka
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On a Characterization of Submanifolds of Hopf Manifolds
pp 191-206
- By Ma. Kato
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Relative Compactification of the Néron Model and its Application
pp 207-226
- By I. Nakamura
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Toroidal Degeneration of Abelian Varieties
pp 227-238
- By Y. Namikawa
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Kodaira Dimensions of Complements of Divisors
pp 239-258
- By F. Sakai
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Compact Quotients of C3 by Affine Transformation Groups, II
pp 259-278
- By T. Suwa
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Kodaira Dimensions for Certain Fibre Spaces
pp 279-292
- By K. Ueno
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Part III
pp 293-294
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Some Remarks on Formal Poincaré Lemma
pp 295-306
- By A. Andreotti, M. Nacinovich
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Special Arithmetic Groups and Eisenstein Series
pp 307-318
- By W.L. Baily, Jr
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Submanifolds and Over-determined Differential Operators
pp 319-356
- By H. Goldschmidt, D. Spencer
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On the First Terms of Certain Asymptotic Expansions
pp 357-368
- By J. Igusa
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Complex Analysis and Algebraic Geometry

A Collection of Papers Dedicated to K. Kodaira

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