Algebraic Geometry Proceedings of the Third Midwest Algebraic Geomet
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Algebraic Geometry Proceedings of the Third Midwest Algebraic Geometry Conference held at the University of Michigan, Ann Arbor, USA, November 14-'15,1981
Edited by I. Dolgachev
Springer-Verlag Berlin Heidelberg New York Tokyo 1983
Editor
I. Dolgachev Department of Mathematics, University of Michigan Ann Arbor, Michigan 48109, USA
AMS Subject Classifications (1980): 14-06, 14 H 45, 14J 25,14 M 20,14 H 10, 14F40, 14J17, 20C30, 14E20, 13C15 ISBN 3-540-12337-7 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12337-7 Springer-Verlag New York Heidelberg Berlin Tokyo This work IS subject to copyright. All nghts are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
Preface
This volume represents the proceedings of the Third Midwest Algebraic Qeometry Conference held at the University of Michigan on November 14-15, 1981. The conference included five one hour lectures of the invited speakers from outside of Midwest
A.
Bialynicki-Birula, D. Gieseker, N. Nygard
and P. Slodowy) and three 45 minutes lectures of the geometers from Midwest (D. Burns, C. Huneke and T. Kambayashi). The research articles included in the present volume represent all the lectures except those by A. Bialynicki-Birula and P. Slodowy (which will be published elsewhere). I would like to thank P. Slodowy for allowing me to include his survey article on a topic closely related to the one of his actual lecture. Following the example of the Proceedings of the First Midwest Algebraic Geometry Conference (Lecture Notes in Mahtematics, vol. 862, 1981) I included in this volume an article of one of the participants (N. Goldstein) which was not presented orally. It is my pleasure to thank all participants of the conference. I am also thankful to the National Science Foundation whose support made this meeting possible.
Igor V. Dolgachev
Table of Contents
1.D.Burns,
On the geometry of elliptic modular surfaces
and representations of finite groups •••.•.•.•...•....•••• 2.F.Catanese, On the rationality of certain moduli spaces related to curves of genus 4 .••.•..•••••••..•.•••...•.••
30
3.D.Gieseker, A construction of special space curves.......
51
4.N.Goldstein, Springer fibres with non-ample normal bundles.
61
5.C.Huneke, The invariants of liaison .••.•.•...•.•..•..•..•••
65
6.T.Kambayashi,V.Srinivas, On etale coverings of the affine space •••••.••.••••.•••••.••..••.••••••••••••••..•..••.•..
75
7.N.Nygaard, On supersingular abelian varieties .••.•.•.....•.
83
8.P.Slodowy, Platonic solids,
singularities and
Lie groups ..•..••.•••...•..•.......•.....•.....
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