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OverviewThe study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however. Full Product DetailsAuthor: H. P. F. Swinnerton-DyerPublisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) Volume: 14 ISBN: 9780511662621ISBN 10: 0511662629 Publication Date: 05 April 2013 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: Available To Order ![]() We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of Contents1. Background; 2. The functions and Reimann forms; 3. Morphisms, polarizations and duality.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |