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

by Edited by W. L. Jr Baily , T. Shioda

• ISBN13: 9780521093347
• ISBN10: 0521093341
• Edition: 1st
• Format: Paperback
• Copyright: 2009-04-13
• Publisher: Cambridge University Press

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 analytical surfaces. 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

Coverings of the Rational Double Points in Characteristic

Enriques' Classification of Surfaces in Car

Classification of Hilbert Modular Surfaces

On Algebraic Surfaces with pencils of Curves of Genus 2

New Surfaces with No Meromorphic Functions II

On the Deformation Types of Regular Elliptic Surfaces

On Numerical Campedelli Surfaces

On Singular K3 Surfaces

On the Minimality of Certain Hilbert Modular Surfaces

Complex Structures on S2p+1 x S2q+1 with Algebraic Codimension 1

Defining Equations for Certain Types of Polarized Varieties

On Logarithmic Kodaira Dimension of Algebraic Varieties

On a Characterisation of Submanifolds of Hopf Manifolds

Relative Compactification of the NFron Model and its Application

Toroidal Degeneration of Abelian Varieties

Kodaira Dimensions of Complements of Divisors

Compact Quotients of C3 by Affine Transformation Groups II

Kodaira Dimensions for Certain Fibre Spaces

Some Remarks on Formal Poincare Lemma

Special Arithmetic Groups and Eisenstein Series

Submanifolds and Over-determines Differential Operators

On the First Terms of Certain Asymptotic Expansions

Micro-Local Calculus of Simple Microfunctions

A Note on Steenrod Reduced powers of Algebraic Cocycles

Polynomial Growth C-de Rham Cohomology and Normalised Series of Prestratified Spaces

Index

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