Arithmetic Of Algebraic Curves


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Arithmetic of Algebraic Curves


Arithmetic of Algebraic Curves

Author: Serguei A. Stepanov

language: en

Publisher: Springer Science & Business Media

Release Date: 1994-12-31


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Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem. Designed for students as well as researchers, the book includes over 250 excercises accompanied by hints, instructions, and references. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.

Algebraic Geometry and Arithmetic Curves


Algebraic Geometry and Arithmetic Curves

Author: 刘擎

language: en

Publisher: Oxford Graduate Texts in Mathe

Release Date: 2002


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Based on the author's course for first-year students this well-written text explains how the tools of algebraic geometry and of number theory can be applied to a study of curves. The book starts by introducing the essential background material and includes 600 exercises.

Plane Algebraic Curves


Plane Algebraic Curves

Author: Gerd Fischer

language: en

Publisher: American Mathematical Soc.

Release Date: 2001


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This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.