By A.I. Markushevich
The idea of Abelian capabilities, which used to be on the heart of nineteenth-century arithmetic, is back attracting recognition. besides the fact that, this present day it truly is often noticeable not only as a bankruptcy of the final idea of capabilities yet as a space of software of the guidelines and strategies of commutative algebra. This publication provides an exposition of the basics of the speculation of Abelian features according to the equipment of the classical idea of services. This concept contains the idea of elliptic capabilities as a unique case. one of the themes lined are theta services, Jacobians, and Picard forms. the writer has aimed the booklet essentially at intermediate and complicated graduate scholars, however it might even be available to the start graduate scholar or complicated undergraduate who has a fantastic heritage in services of 1 advanced variable. This ebook will end up specially worthy to people who will not be acquainted with the analytic roots of the topic. furthermore, the special old advent cultivates a deep figuring out of the topic. Thorough and self-contained, the publication will supply readers with an outstanding supplement to the standard algebraic technique.
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