Moduli of Curves and Abelian Varieties The Dutch Intercity Seminar o
The Dutch Intercity Seminar on Moduli, which dates back to the early eighties, was an initiative of G. van der Geer, F. Oort and C. Peters. Through the years it became a focal point of Dutch mathematics and it gained some fame, also outside Holland, as an
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Aspects of Mathematics Edited by Klas Diederich
Vol. E 3: G. Hector/U. Hirsch: Introduction to the Geometry of Foliations, Part B Vol. E 6: G. Faltings/G. Wustholz et al.: Rational Points* Vol. E 9: A. Howard/P.-M. Wong (Eds.): Contribution to Several Complex Variables Vol. E 15: J .-P Serre: Lectures on the Mordell-Weil Theorem Vol. E 16: K. Iwasaki/H. Kimura/S. Shimomura/M. Yoshida: From Gauss to Painleve Vol. E 17: K. Diederich (Ed.): Complex Analysis Vol. E 18: W. W. J . Hulsbergen: Conjectures in Arithmetic Algebraic Geometry Vol. E 19: R. Racke: Lectures on Nonlinear Evolution Equations Vol. E 20: F. Hirzebruch/Th. Berger /R. Jung: Manifolds and Modular Forms* Vol. E 21: H. Fujimoto: Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm Vol. E 22: D. V. Anosov / A. A. Bolibruch: The Riemann-Hilbert Problem Vol. E 24: D. S. Alexander: A History of Complex Dynamics Vol. E 25: A. Tikhomirov / A. Tyurin (Eds.): Algebraic Geometry and its Applications Vol. E 27: D. N. Akhiezer: Lie Group Actions in Complex Analysis Vol. E 28: R. Gerard/H. Tahara: Singular Nonlinear Partial Differential Equations Vol. E29: R.-P. Holzapfel: Ball and Surface Arithmetics Vol. E30: R. Huber: Etale Cohomology of Rigid Analytic Varieties and Adic Spaces Vol. E 31: D. Huybrechts/M. Lehn: The Geometry of Moduli Spaces of Sheaves* Vol. E32: M. Yoshida: Hypergeometric Functions, My Love Vol. E33: C. Faber/E. Looijenga (Eds.): Moduli of Curves and Abelian Varieties
* A Publication of the Max-Planck-Institut fur Mathematik, Bonn
Carel Faber Eduard Looijenga (Eds. )
Moduli of Curves and Abelian Varieties The Dutch Intercity Seminar on Moduli
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vleweg
Prof. Dr. Eduard Looijenga Dept. uf Mathematics University of Utrecht PO Box 80. 010 NL-3508 TA Utrecht Dr. Carel Faber Dept. of Mathematics Oklahoma State University Stillwater, OK 74078-1058 USA and Dept. of Mathematics Royal Institute of Technology 5-100 44 Stockholm Prof. Dr. Klas Diederich (Series Editor) Dept. of Mathematics University of Wuppertal 0-42119 Wuppertal
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Preface The present volume, with contributions of R. Dijkgraaf, C. Faber, G. van der Geer, R. Rain, E. Looijenga, and F. Oort, originates from the Dutch Intercity Seminar on Moduli (year 1995-96). Some of the articles here were discussed, in preliminary form, in the seminar; others are completely new. Two introductory papers, on moduli of abelian varieties and on moduli of curves, accompany the articles. Topics include a stratification of a moduli space of abelian varieties in positive chara
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