Algebraic Geometry and Complex Analysis Proceedings of the Workshop
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1414 E. Ramfrez de Arellano (Ed.)
Algebraic Geometry and Complex Analysis Proceedings of the Workshop held in Patzcuaro, Michoacan, Mexico, Aug. 10-14, 1987
Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo Hong Kong
Editor
Enrique Ramirez de Arellano Department of Mathematics Centro de Investigaci6n y de Estudios Avanzados dell.P.N. P.O. Box 14-740, Mexico, D.F. CP 07000, Mexico
Mathematics Subject Classification (1980): 14-06,32-06 ISBN 3-540-52175-5 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-52175-5 Springer-Verlag New York Berlin Heidelberg
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PREFACE The
on Algebraic Geometry, and Complex Analysis was held
in the City of Patzcuaro, r'1ichoacan, This
from August 10 to 14,
1987.
was part of the activities of the "V Coloquio de Matematicas"
held by the
Department of the CINVESTAV-IPN, Mexico City.
Interinstitutional
Seminar on Algebraic Geometry (SIGA)
The
took part in the
organization. The Editorial Committee of the Proceedings was composed of Leticia Brambila
Paz
(UAM-IZT),
Enrique
Ramirez
de
Arellano
(CINVESTAV-IPN)
and
Sevin Reci11as P. The
contributions
of the Workshop. been refereed. the
to this volume were provided by participants
All artie 1es eontai ned here are in fi na 1 form and have A separate volume, with summaries of the lectures held at
mainly in Spanish,
is being published by the
De-
partment of the CINVESTAV-IPN. The organizers and the Editorial Committee wish to thank the participants in the Workshop, the contributors to this volume, and the referees. We also express our acknowledgements to the following Institutions for
their support of the Coloquio and
the I-Jorkshop:
Consejo Naeional de
Ciencia y Tecnologia, Secretar'ia de Educac i Sn PGbl ica, Universidad Naeional Autonoma de Mexico, Universidad Autonoma Metropolitana, Instituto Politeenieo Nacional, Centro de Investigacion y de Estudios Avanzados del IPN.
ENRIQUE RAMIREZ DE ARELLANO
CINVESTAV-IPN, MEXICO CITY, MARCH 1989
CONTENTS Short Course of Lectures The addition theorem for abstract Theta functions G.R. KEMPF Research Papers Existence of certain universal extensions L. BRAMBILA On a property of the Kummer variety and a relation between two moduli spaces of curves A. DEL CENTINA and S. RECILLAS
15
28
The bi-weighted Euler sequence on scrolls C.
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