Algebraic Geometry and Analysis Geometry

This volume records the proceedings of an international conference held in Tokyo, Japan in August 1990 on the subjects of algebraic geometry and analytic geometry. The International Conference "Algebraic Geometry and Analytic Geometry, Tokyo 1990" was held at Tokyo Metropolitan University and the Tokyo Training Center of Daihyaku Mutual Life Insurance Co., from August 13 through August 17, 1990, under the co-sponsorship of the Mathematical Society of Japan. It was one of the satellite conferences of ICM90, Kyoto, and approximately 300 participants, including more than 100 from overseas, attended the conference. The academic program was divided into two parts, the morning sessions and the afternoon sessions. The morning sessions were held at Tokyo Metropolitan University, and two one-hour plenary lectures were delivered every day. The afternoon sessions at the Tokyo Training Center, intended for a more specialized audience, consisted of four separate subsessions: Arithemetic Geometry, Algebraic Geometry, Analytic Geometry I and Analytic Geometry II. This book contains papers which grew out of the talks at the conference. The committee in charge of the organization and program consisted of A. Fujiki, K. Kato, T. Katsura, Y. Kawamata, Y. Miyaoka, S. Mori, K. Saito, N. Sasakura, T. Suwa and K. Watanabe. We would like to take this opportunity to thank the many mathematicians and students who cooperated to make the conference possible, especially Professors T. Fukui, S. Ishii, Y. Kitaoka, M. Miyanishi, Y. Namikawa, T. Oda, F. Sakai and T. Shioda for their valuable advice and assistance in organizing this conference. Financial support was mainly provided by personal contributions from Professors M Contents: V. Balaji, C.s. Seshadri: Poincaré Polynomials Of Some Moduli Varieties -- F.a. Bogomolov: On Two Conjectures In Birational Algebraic Geometry -- H. Esnault, E. Viehweg: Ample Sheaves On Moduli Schemes -- S. Ishii: Simultaneous Canonical Models Of Deformations Of Isolated Singularities -- J. Kollár: Cone Theorems And Cyclic Covers -- D.t. Lê: Depth And Perversity -- N. Nakayama: Elliptic Fibrations Over Surfaces I -- V.v. Nikulin: Weil Linear Systems On Singular K3 Surfaces -- T. Saito: The Euler Numbers Of L-adic Sheaves Of Rank 1 In Positive Characteristic -- V.v. Schechtman, A.n. Varchenko: Quantum Groups And Homology Of Local Systems -- C.t. Simpson: A Lower Bound For The Size Of Monodromy Of Systems Of Ordinary Differential Equations -- Yu.g. Zharin: Abelian Varieties Of K3 Type And L-adic Representations -- List Of Talks -- List Of Participants. Edited By Akira Fujiki, Kazuya Kato, Yujiro Kawamata, Toshiyuki Katsura, Yoichi Miyaoka.