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Cover image for Complex analysis and algebraic geometry
Title:
Complex analysis and algebraic geometry
Publication Information:
Cambridge: Cambridge Univ Pr., 1977
ISBN:
9780521217774

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30000001872732 QA564 .C56 1977 Open Access Book Book
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30000002312225 QA564 .C56 1977 Open Access Book Book
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Summary

Summary

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.


Table of Contents

Foreword
Introduction
Part 1 Coverings of the Rational Double Points in CharacteristicM. Artin
Enriques"(tm) Classification of Surfaces in CarE. Bombeieri and D. Mumford
Classification of Hilbert Modular SurfacesF. Hirzebruch and D. Zagier
On Algebraic Surfaces with pencils of Curves of Genus 2E. Horikawa
New Surfaces with No Meromorphic Functions IIM. Inoue
On the Deformation Types of Regular Elliptic SurfacesA. Kas
On Numerical Campedelli SurfacesY. Miyaoka
On Singular K3 SurfacesT. Shioda and H. Inose
On the Minimality of Certain Hilbert Modular SurfacesG. van der Geer and A. Van de Ven
Part 2 Complex Structures on S2p+1 x S2q+1 with Algebraic Codimension 1K. Akao
Defining Equations for Certain Types of Polarized VarietiesT. Fujita
On Logarithmic Kodaira Dimension of Algebraic VarietiesS. Iitaka
On a Characterisation of Submanifolds of Hopf ManifoldsMa. Kato
Relative Compactification of the NÃ(c)ron Model and its ApplicationI. Nakamura
Toroidal Degeneration of Abelian VarietiesY. Namikawa
Kodaira Dimensions of Complements of DivisorsF. Sakai
Compact Quotients of C3 by Affine Transformation Groups IIT. Suwa
Kodaira Dimensions for Certain Fibre SpacesK. Ueno
Part III Some Remarks on Formal PoincareLemma A. Andreotti and M. Nacinovich
Special Arithmetic Groups and Eisenstein SeriesW.L. Baily, Jr.
Submanifolds and Over-determines Differential OperatorsH. Goldschmidt and D. Spencer
On the First Terms of Certain Asymptotic ExpansionsJ. Igusa
Micro-Local Calculus of Simple MicrofunctionsM. Kashiwara
A Note on Steenrod Reduced powers of Algebraic CocyclesS. Kawai
Polynomial Growth Câê?-de Rham Cohomology and Normalised Series of Prestratified SpacesN. Sasakura
Index
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