ICM-90 Satellite Conference Proceedings

1. Front Matter

   Pages i-v

   PDF

2. Poincare Polynomials of Some Moduli Varieties

   • V. Balaji, C. S. Seshadri

   Pages 1-25

3. On Two Conjectures in Birational Algebraic Geometry

   • Fedor A. Bogomolov

   Pages 26-52

4. Ample sheaves on moduli schemes

   • Hélène Esnault, Eckart Viehweg

   Pages 53-80

5. Simultaneous Canonical Models of Deformations of Isolated Singularities

   • Shihoko Ishii

   Pages 81-100

6. Cone Theorems and Cyclic Covers

   • János Kollár

   Pages 101-110

7. Depth and Perversity

   • Lê Dũng Tráng

   Pages 111-125

8. Elliptic Fibrations over Surfaces I

   • Noboru Nakayama

   Pages 126-137

9. Weil Linear Systems on Singular K3 Surfaces

   • Viacheslav V. Nikulin

   Pages 138-164

10. The Euler numbers of ℓ-adic sheaves of rank 1 in positive characteristic

    • Takeshi Saito

    Pages 165-181

11. Quantum Groups and Homology of Local Systems

    • Vadim V. Schechtman, Alexander N. Varchenko

    Pages 182-197

12. A lower bound for the size of monodromy of systems of ordinary differential equations

    • Carlos T. Simpson

    Pages 198-230

13. Abelian Varieties of K3 Type and ℓ-Adic Representations

    • Yuri G. Zarhin

    Pages 231-255

14. Back Matter

    Pages 256-260

    PDF

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.

• Abelian variety
• Canon
• Mathematica
• Monodromy
• algebraic geometry
• character
• differential equation
• equation
• fibrations
• form
• ordinary differential equation
• presentation
• sheaves
• society
• theorem

• College of General Education, Kyoto University, Yoshida-nihonmatsu, Sakyo-ku, Kyoto, Japan

  Akira Fujiki

• Department of Mathematics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, Japan

  Kazuya Kato, Yujiro Kawamata

• Department of Mathematics, Ochanomizu University, Otsuka, Bunkyo-ku, Tokyo, Japan

  Toshiyuki Katsura

• Department of Mathematics, Rikkyo University, Nishi-ikebukuro, Toshima-ku, Tokyo, Japan

  Yoichi Miyaoka

Policies and ethics