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

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Overview

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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Product Details

  • ISBN-13: 9780521093347
  • Publisher: Cambridge University Press
  • Publication date: 6/9/2008
  • Pages: 416
  • Product dimensions: 6.70 (w) x 9.50 (h) x 0.90 (d)

Table of Contents

Foreword; List of contributors; Introduction K. Ueno and T. Shioda; Part I: 1. Coverings of the rational double points in characteristic p M. Artin; 2. Entriques' classification of surfaces in char p, II E. Bombieri and D. Mumford; 3. Classification of Hilbert modular surfaces F. Hirzebruch and D. Zagier; 4. On algebraic surfaces with pencils of curves genus 2 E. Horikawa; 5. New surfaces with no meromorphic functions, II M. Inoue; 6. On the deformation types of regular elliptic surfaces A. Kas; 7. On numerical Campedelli surfaces Y. Miyaoka; 8. On singular K3 surfaces T. Shioda and H. Inose; 9. On the minimality of certain Hilbert modular surfaces G. van der Geer and A. Van de Ven; Part II: 10. Complex structures on S2p + 1 X S2q + 1 with algebraic codimension 1 K. Akao; 11. Defining equations for certain types of polarized varieties T. Fujita; 12. On logarithmic Kodaira dimension of algebraic varieties S. Iitaka; 13. On a characterization of submanifolds of Hopf manifolds Ma. Kato; 14. Relative compactification of the Néron model and its application I. Nakamura; 15. Toroidal degeneration of Abelian varieties Y. Namikawa; 16. Kodaira dimensions of complements of divisors F. Sakai; 17. Compact quotients of C3 by affine transformation groups, II T. Suwa; 18. Kodaira dimensions for certain fibre spaces K. Ueno; Part III: 19. Some remarks on formal Poincaré lemma A. Andreotti and M. Nacinovich; 20. Special arithmetic groups and Eisenstein series W. L. Baily, Jr.; 21. Submanifolds and over-determined differential operators H. Goldschmidt and D. Spencer; 22. On the first terms of certain asymptotic expansions J. Igusa; 23. Micro-local calculus of simple microfunctions M. Kashiwara; 24. A note on Steenrod reduced powers of algebraic cocycles S. Kawai; 25. Polynomicl growth C∞-de Rahm cosmology and normalized series of prestratified spaces N. Sasakura; Index.

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