Algebraic Geometry

Download E-books Introduction to the Classical Theory of Abelian Functions (Translations of Mathematical Monographs) PDF

By A.I. Markushevich

The speculation of Abelian services, which used to be on the middle of nineteenth-century arithmetic, is back attracting realization. besides the fact that, this day it truly is often obvious not only as a bankruptcy of the overall concept of services yet as a space of program of the guidelines and techniques of commutative algebra. This publication provides an exposition of the basics of the speculation of Abelian services in accordance with the equipment of the classical concept of capabilities. This idea comprises the speculation of elliptic services as a unique case. one of the themes coated are theta services, Jacobians, and Picard kinds. the writer has aimed the publication essentially at intermediate and complicated graduate scholars, however it might even be available to the start graduate pupil or complicated undergraduate who has a superb historical past in features of 1 complicated variable. This ebook will end up specifically important to those that aren't conversant in the analytic roots of the topic. furthermore, the distinct ancient advent cultivates a deep realizing of the topic. Thorough and self-contained, the e-book will offer readers with an exceptional supplement to the standard algebraic process.

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