Contributions to Several Complex Variables In Honour of Wilhelm Stol

In 1960 Wilhelm Stoll joined the University of Notre Dame faculty as Professor of Mathematics, and in October, 1984 the university acknowledged his many years of distinguished service by holding a conference in complex analysis in his honour. This volume

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Contributions to Several Complex Variables

Aspects of Mathematics

Aspek1e der Mathematik Editor: Klas Diederich

Vol. E1: G. Hector/U. Hirsch, Introduction to the Geometry of Foliations, Part A Vol. E2: M. Knebusch/M. Kolster, Wittrings Vol. E3: G. Hector/U. Hirsch, Introduction to the Geometry of Foliations, Part B Vol. E4: M. Laska, Elliptic Curves over Number Fields with Prescribed Reduction Type Vol. E5: P. Stiller, Automorphic Forms and the Picard Number of an Elliptic Surface Vol. E6: G. Faltings/G. Wustholz et. al., Rational Points (A Publication of the Max·Planck·lnstitut fUr Mathematik, Bonn)

Vol. E7: W. Stoll, Value Distribution Theory for Meromorphic Maps Vol. E8: W. von Wahl, The Equations of Navier-Stokes and Abstract Parabolic Equations Vol. E9: A. Howard, P.-M. Wong (Eds.), Contributions to Several Complex Variables Band D1: H. Kraft, Geometrische Methoden in der I nvariantentheorie

The texts published in this series are intended for graduate students and all mathematicians who wish to broaden their research horizons or who simply want to get a better idea of what is going on in a given field. They are introductions to areas close to modern research at a high level and prepare the reader for a better understanding of research papers. Many of the books can also be used to supplement graduate course programs. The series comprises two sub-series, one with English texts only and the other in German.

Alan Howard, Pit-Mann Wong (Eds.)

Contributions to Several Complex Variables In Honour of Wilhelm Stoll

Springer Fachmedien Wiesbaden GmbH

Professors Alan Howard and Pit-Mann Wong, Department of Mathematics, University of Notre Dame, Post Office Box 398, Notre Dame, Indiana 46556, USA_

AMS Subject Classification: 3206 All rights reserved

© Springer Fachmedien Wiesbaden 1986 Originally published by Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig in 1986

No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, mechanical, photocopying, recording or otherwise, without prior permission of the copyright holder.

Produced by W. LangelUddecke, Braunschweig

ISSN

0179-2156

ISBN 978-3-528-08964-1 ISBN 978-3-663-06816-7 (eBook) DOI 10.1007/978-3-663-06816-7

Contents Picture of Wilhelm Stoll. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..

VI

Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

VII

Group Picture of the Conference Participants and Explanations . . . . . . . . . . . . . . . . . . . . VIII Arithmetic Hilbert Modular Functions III Walter L. Bailey. Jr. The Heat Equation for the a·Neumann Problem on Strictly Pseudoconvex Domains Richard Beals and Nancy K. Stanton

41

Some Examples of the Twistor Construction Daniel Burns

51

Complete Kahler Domains. A Survey of some Recent Results Klas Diederich

69

On the Minimality of Hyperplane Sections of Gorenstein Threefolds Maria L. Fania and Andrew J. Sommese

89