Ebook: ICM-90 Satellite Conference Proceedings: 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.

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Contents: V. Balaji, C.S. Seshadri: Poincar? 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. Koll?r: Cone theorems and cyclic covers.- D.T. L?: 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.

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Contents: V. Balaji, C.S. Seshadri: Poincar? 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. Koll?r: Cone theorems and cyclic covers.- D.T. L?: 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.
Content:
Front Matter....Pages i-v
Poincare Polynomials of Some Moduli Varieties....Pages 1-25
On Two Conjectures in Birational Algebraic Geometry....Pages 26-52
Ample sheaves on moduli schemes....Pages 53-80
Simultaneous Canonical Models of Deformations of Isolated Singularities....Pages 81-100
Cone Theorems and Cyclic Covers....Pages 101-110
Depth and Perversity....Pages 111-125
Elliptic Fibrations over Surfaces I....Pages 126-137
Weil Linear Systems on Singular K3 Surfaces....Pages 138-164
The Euler numbers of ?-adic sheaves of rank 1 in positive characteristic....Pages 165-181
Quantum Groups and Homology of Local Systems....Pages 182-197
A lower bound for the size of monodromy of systems of ordinary differential equations....Pages 198-230
Abelian Varieties of K3 Type and ?-Adic Representations....Pages 231-255
Back Matter....Pages 256-260

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Contents: V. Balaji, C.S. Seshadri: Poincar? 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. Koll?r: Cone theorems and cyclic covers.- D.T. L?: 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.
Content:
Front Matter....Pages i-v
Poincare Polynomials of Some Moduli Varieties....Pages 1-25
On Two Conjectures in Birational Algebraic Geometry....Pages 26-52
Ample sheaves on moduli schemes....Pages 53-80
Simultaneous Canonical Models of Deformations of Isolated Singularities....Pages 81-100
Cone Theorems and Cyclic Covers....Pages 101-110
Depth and Perversity....Pages 111-125
Elliptic Fibrations over Surfaces I....Pages 126-137
Weil Linear Systems on Singular K3 Surfaces....Pages 138-164
The Euler numbers of ?-adic sheaves of rank 1 in positive characteristic....Pages 165-181
Quantum Groups and Homology of Local Systems....Pages 182-197
A lower bound for the size of monodromy of systems of ordinary differential equations....Pages 198-230
Abelian Varieties of K3 Type and ?-Adic Representations....Pages 231-255
Back Matter....Pages 256-260
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