Arithmetic of Algebraic Curves

Arithmetic of Algebraic Curves
Author: Serguei A. Stepanov
Publisher: Springer Science & Business Media
Total Pages: 444
Release: 1994-12-31
Genre: Mathematics
ISBN: 9780306110368


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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.


Arithmetic of Algebraic Curves
Language: en
Pages: 444
Authors: Serguei A. Stepanov
Categories: Mathematics
Type: BOOK - Published: 1994-12-31 - Publisher: Springer Science & Business Media

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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 Geometry and Arithmetic Curves
Language: en
Pages: 593
Authors: Qing Liu
Categories: Mathematics
Type: BOOK - Published: 2006-06-29 - Publisher: Oxford University Press

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This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves
Algebraic Curves
Language: en
Pages: 120
Authors: William Fulton
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher:

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The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We hav
Complex Algebraic Curves
Language: en
Pages: 278
Authors: Frances Clare Kirwan
Categories: Mathematics
Type: BOOK - Published: 1992-02-20 - Publisher: Cambridge University Press

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This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and ari
Algebraic Curves and Riemann Surfaces
Language: en
Pages: 414
Authors: Rick Miranda
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.

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In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical in