This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.
Lecture Notes in Mathematics Editors: J.--M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris 1845 3 Berlin Heidelberg New York Hong Kong London Milan Paris Tokyo Min Ho Lee Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms 13 Author Min Ho LEE Department of Mathematics University of Northern Iowa Cedar Falls IA 50614, U.S.A. e-mail:
[email protected] Library of Congress Control Number: 2004104067 Mathematics Subject Classification (2000): 11F11, 11F12, 11F41, 11F46, 11F50, 11F55, 11F70, 14C30, 14D05, 14D07, 14G35 ISSN 0075-8434 ISBN 3-540-21922-6 Springer-Verlag Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specif ically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microf ilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Spring