Drinfeld Modules, Modular Schemes and Applications

ISBN 10: 9810230672 ISBN 13: 9789810230678

Verlag: WSPC, 1997

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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. KlappentextrnrnIn his 1974 seminal paper Elliptic modules , V G Drinfeld introduced objects into the arithmetic geometry of global function fields which are nowadays known as Drinfeld Modules . They have many beautiful analogies with elliptic . Bestandsnummer des Verk�ufers 449933724

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Inhaltsangabe:

In his 1974 seminal paper "Elliptic modules", V G Drinfeld introduced objects into the arithmetic geometry of global function fields which are nowadays known as "Drinfeld Modules". They have many beautiful analogies with elliptic curves and abelian varieties. They study of their moduli spaces leads amongst others to explicit class field theory, Jacquet-Langlands theory, and a proof of the Shimura-Taniyama-Weil conjecture for global function fields.

This book constitutes a carefully written instructional course of 12 lectures on these subjects, including many recent novel insights and examples. The instructional part is complemented by research papers centering around class field theory, modular forms and Heegner points in the theory of global function fields.

The book will be indispensable for everyone who wants a clear view of Drinfeld's original work, and wants to be informed about the present state of research in the theory of arithmetic geometry over function fields.

Rese�a del editor: Drinfeld's publication "Elliptic Modules" (1976) opened up the new area of study in arithmetical algebraic geometry, now called "Drinfeld modules". These objects live in positive characteristics and have analogies with elliptic curces and abelian varieties. Rank one modules are related with class field theory of function fields; rank two Drinfeld modules are analogues of elliptic curves. Their study leads to a proof of the Shimura-Taniyama-Weil conjecture and to Jacquet-Langlands theory for function fields. This book constitutes an instructional course on the subject, complemented by research papers.

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