By A.I. Markushevich
The speculation of Abelian features, which used to be on the middle of nineteenth-century arithmetic, is back attracting awareness. despite the fact that, this day it really is often noticeable not only as a bankruptcy of the overall idea of capabilities yet as a space of software of the guidelines and strategies of commutative algebra. This ebook offers an exposition of the basics of the speculation of Abelian capabilities in keeping with the tools of the classical concept of capabilities. This conception comprises the idea of elliptic capabilities as a different case. one of the themes lined are theta features, Jacobians, and Picard forms. the writer has aimed the ebook essentially at intermediate and complex graduate scholars, however it could even be obtainable to the start graduate pupil or complicated undergraduate who has an exceptional heritage in services of 1 complicated variable. This e-book will end up particularly valuable to people who aren't conversant in the analytic roots of the topic. moreover, the specified ancient advent cultivates a deep figuring out of the topic. Thorough and self-contained, the ebook will offer readers with a superb supplement to the standard algebraic procedure.
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