Complex Geometry and Analysis Proceedings of the International Sympo
The volume contains the texts of the main talks delivered at the International Symposium on Complex Geometry and Analysis held in Pisa, May 23-27, 1988. The Symposium was organized on the occasion of the sixtieth birthday of Edoardo Vesentini. The aim of
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1422 V. Villani
(Ed.)
Complex Geometry and Analysis Proceedings of the International Symposium in honour of Edoardo Vesentini held in Pisa (Italy), May 23-27, 1988
Springer-Verlag Berlin Heidelberg New YorkLondon ParisTokyo Hong Kong
Editor
Vinicio Villani Dipartimento di Matematica, Universita di Pisa Via Buonarroti, 2, 56100 Pisa, Italy
Mathematics Subject Classification (1980): 32-xx, 53-xx, 47-xx ISBN 3-540-52434-7 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-52434-7 Springer-Verlag New York Berlin Heidelberg
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© Springer-Verlag Berlin Heidelberg 1990 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210 - Printed on acid-free paper
Foreword This volume contains the texts of the main talks delivered at the International Symposium on Complex Geometry and Analysis held in Pisa, May 2327, 1988. The Symposium was organized on the occasion of the sixtieth birthday of Edoardo Vesentini, by some of his former students, in appreciation of his many contributions to mathematics, of his teaching and advice. The aim of the lectures was to describe the present situation, the recent developments and research trends in several relevant topics in Complex Geometry and Analysis, that is in those fields in which the mathematical activity ofE. Vesentini is most fruitful and inspiring. The contributors are distinguished mathematicians who have actively collaborated with the mathematical school in Pisa over the past thirty years. The organizers would like to thank all the supporting institutions, and, in particular, the Comitato per la Matematica (CNR) and the Gruppo Nazionale di Geometria Analitica ed Analisi Complessa (MPI).
The Organizing Committee V. Villani (chairman) T. Franzoni G. Gentili G. Gigante S. Levi F. Ricci G. Tomassini
Contents
Foreword. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. III M.F. ATIYAH Hyperkahler Manifolds
E.
1
CALABI
Affine Differential Geometry and Holomorphic Curves
15
J. W. COGDELL, 1.1. PIATETSKI-SHAPIRO
The Meromorphic Continuation of Kloosterman-Selberg Zeta Functions .... 23 H. GRAUERT Deformation of Compact Riemann Surfaces Y of Genus p with Distinguished Points Pi,' .. , Pm E Y .. . . .. . . . .. .. . .. . . .. .. .. . . . .. . .. . .. . .. 37
G. DETHLOFF,
S.
KOBAYASHI
On Moduli of Vector Bundles
45
H.M. REIMANN Quasiconformal Mappings on CR Manifolds. . . . . . . . . . .
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