Algebraic Geometry: Conference Proceedings

This guide to algebraic geometry covers the active areas of the subject: birational geometry of higher dimensional algebraic varieties, Kahler manifolds and analytic varieties, abelian varieties, arithmetic algebraic geometry, rigid analytic spaces, cycles and vector bundles on algebraic varieties, mixed Hodge structures, period maps for K3 surfaces and for isolated singularities. Many of the papers not only contain original results, but also survey the particular topics covered.

Table of Contents:
Pluricanonical Systems of Algebraic Varieties of General Type of Dimension >/=5 (T. Ando). Uniqueness of Einstein Kahler Metrics Modulo Connected Group Actions (S. Bando, T. Mabuchi). Abelian Surfaces with (1, 2)-Polarization (W. Barth). Euler Characteristics and Swan Conductors (S.J. Bloch). Complete Intersections with Growth Conditions (O. Forster and T. Ohsawa). On the de Rham Cohomology Group of a Compact Kahler Symplectic Manifold (A. Fujiki). On Polarized Manifolds Whose Adjoint Bundles Are Not Semipositive (T. Fujita). Coverings of Algebraic Varieties (R.V. Gurjar). Stability of the Pluricanonical Maps of Threefolds (M. Hanamura). On p-adic Vanishing Cycles (Application of Ideas of Fontaine-Messing)(K. Kato). Supersingular Abelian Varieties of Dimension Two or Three and Class Numbers (T. Katsura, F. Oort). Introduction to the Minimal Model Problem (Y. Kawamata, K. Matsuda, K. Matsuki). Subadditivity of the Kodaira Dimension: Fibers of General Type (J. Kollar). The Rationality of the Moduli Spaces of Vector Bundles of Rank 2 on P 2 (M. Maruyama, with an Appendix by I. Naruki). Projective Degenerations of Surfaces According to S. Tsunoda (M. Miyanishi). The Chern Classes and Kodaira Dimension of a Minimal Variety (Y. Miyaoka). Cremona Transformations and Degrees of Period Maps for K3 Surfaces with Ordinary Double Points (D.R. Morrison, M.-H. Saito). Fourier Functor and Its Application to the Moduli of Bundles on an Abelian Variety (S. Mukai). The Lower Semi-Continuity of the Plurigenera of Complex Varieties (N. Nakayama). K. Saito's Period Map for Holomorphic Functions with Isolated Critical Points (T. Oda). Variation of Mixed Hodge Structure and the Torelli Problem (M.-H. Saito, Y. Shimizu, S. Usui). Mixed Hodge Structures on Cohomologies with Coefficients in a Polarized Variation of Hodge Structure (Y. Shimizu). Algebraic Cycles on Hypersurfaces in P N (T. Shioda). Constructible Sheaves Associated to the Whittaker Functions (T. Terasoma). Degenerations of Surfaces (S. Tsunoda). Compact Rigid Analytic Spaces, with Special Regard to Surfaces (K. Ueno).