Advanced Studies in Pure Mathematics 2004; 360 pp; hardcover Volume: 42 ISBN10: 4931469272 ISBN13: 9784931469273 List Price: US$92 Member Price: US$73.60 Order Code: ASPM/42
 This volume resulted from a conference held at Kyoto University and Nara Women's University (Japan) in commemoration of the late Professor Kiyoshi Oka, one of the most famous Japanese mathematicians. Included are 34 research and survey papers contributed by the invited lecturers and a letter written for the occasion by H. Cartan. Among the leading mathematicians who contributed to the volume are E. Bedford, S. Kobayashi, J. J. Kohn, and M. Kuranishi. Topics discussed include pseudoconvex domains, \(\bar{\partial}\) analysis (including \(L^2\) theory), the Bergman kernel, value distribution theory, hyperbolic manifolds, dynamical systems, infinite dimensional complex analysis, algebraic analysis, CR structure, singularity theory, algebraic geometry, and others. The book is suitable for advanced graduate students and research mathematicians interested in complex analysis, algebraic geometry, and complex geometry. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Advanced graduate students and research mathematicians interested in complex analysis, algebraic geometry, and complex geometry. Table of Contents Part I  Photos of Kiyoshi Oka
 Oka, Kiyoshi
 Memorial conference of Kiyoshi Oka's centennial birthday on complex analysis in several variables, Kyoto/Nara 2001
 Message from Professor Henri Cartan
Part II  T. Nishino  Mathematics of Professor Okaa landscape in his mind
 Y. Aihara  Uniqueness problem for meromorphic mappings under conditions on the preimages of divisors
 T. Akahori  On the middle dimension cohomology of \(A_1\) singularity
 T. Aoki, T. Kawai, and Y. Takei  The exact steepest descent methoda new steepest descent method based on the exact WKB analysis
 E. Bedford  Excursions of a complex analyst into the realm of dynamical systems
 J. El Goul  Demailly's 2jet negativity of certain hyperbolic fibrations
 J. E. Fornæss  Short \(C^k\)
 H. Fujimoto  Some constructions of hyperbolic hypersurfaces in \({P^n}(C)\)
 K. Hirachi  A link between the asymptotic expansions of the Bergman kernel and the Szegö kernel
 A. Iordan  On the nonexistence of smooth Leviflat hypersurfaces in \(CP_n\)
 S.J. Kan  Recent development on Grauert domains
 K.T. Kim  Analytic polyhedra with noncompact automorphism group
 S. Kobayashi  Problems related to hyperbolicity of almost complex structures
 J. J. Kohn  Ideals of multipliers
 G. Komatsu  The Bergman kernel of Hartogs domains and transformation laws for SobolevBergman kernels
 M. Kuranishi  An approach to the Cartan geometry II: CR manifolds
 L. Lempert  The \(\bar{\partial}\) equation in \(N\) variables, as \(N\) varies
 K. Matsumoto  Levi form of logarithmic distance to complex submanifolds and its application to developability
 Y. Miyaoka  Numerical characterisations of hyperquadrics
 S. Mori  Meromorphic mappings and deficiencies
 J. Noguchi  Intersection multiplicities of holomorphic and algebraic curves with divisors
 T. Ohsawa  Generalization of a precise \(L^2\) division theorem
 M. Passare  Amoebas, convexity and the volume of integer polytopes
 R. M. Range  On the decomposition of holomorphic functions by integrals and the local CR extension theorem
 O. Riemenschneider  The monodromy covering of the versal deformation of cyclic quotient surface singularities
 G. Schumacher  Moduli as algebraic spaces
 S. Shimizu  Prolongation of holomorphic vector fields on a tube domain and its applications
 M. Shirosaki  Hypersurfaces and uniqueness of holomorphic mappings
 S. Takayama  Seshadri constants and a criterion for bigness of pseudoeffective line bundles
 H. Tsuji  Subadjunction theorem
 T. Ueda  Fixed points of polynomial automorphisms of \(C^n\)
 K. Yamanoi  On Nevanlinna theory for holomorphic curves in abelian varieties
 S.T. Yau  Numerical characterization for affine varieties be a cone over nonsingular projective varieties
 K.I. Yoshikawa  Nikulin's \(K\)3 surfaces, adiabatic limit of equivariant analytic torsion, and the Borcherds \(\Phi\)function
