An Invitation To Arithmetic Geometry

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An Invitation To Arithmetic Geometry

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Author : Dino Lorenzini
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-23

An Invitation To Arithmetic Geometry written by Dino Lorenzini and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-23 with Mathematics categories.

Extremely carefully written, masterfully thought out, and skillfully arranged introduction … to the arithmetic of algebraic curves, on the one hand, and to the algebro-geometric aspects of number theory, on the other hand. … an excellent guide for beginners in arithmetic geometry, just as an interesting reference and methodical inspiration for teachers of the subject … a highly welcome addition to the existing literature. —Zentralblatt MATH The interaction between number theory and algebraic geometry has been especially fruitful. In this volume, the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri's proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes, which will aid the reader who goes to the next level of this rich subject.

An Invitation To Arithmetic Geometry

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Author : Dino Lorenzini
language : en
Publisher: American Mathematical Society(RI)
Release Date : 1996

An Invitation To Arithmetic Geometry written by Dino Lorenzini and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Arithmetical algebraic geometry categories.

This work brings out the deep analogies between number theory, commutative algebra and algebraic geometry. It has been designed to emphasize the interconnection between the two fields of mathematics, and presents in a unified manner the basic tools and concepts of number theory and algebraic geometry. Containing worked-out examples and suggested exercises, the work was written as a textbook for a year-long introduction to arithmetic geometry.

An Invitation To Algebraic Geometry

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Author : Karen Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-27

An Invitation To Algebraic Geometry written by Karen Smith and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-27 with Mathematics categories.

This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

An Invitation To Algebraic Geometry

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Author : Karen Smith
language : en
Publisher:
Release Date : 2014-01-15

An Invitation To Algebraic Geometry written by Karen Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Optimal Elliptic Curves Discriminants And The Degree Conjecture Over Function Fields

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Author : Mihran Papikian
language : en
Publisher:
Release Date : 2003

Optimal Elliptic Curves Discriminants And The Degree Conjecture Over Function Fields written by Mihran Papikian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.

The Bulletin Of Mathematics Books

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Author :
language : en
Publisher:
Release Date : 1992

The Bulletin Of Mathematics Books written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computer software categories.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2001

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

Acta Arithmetica

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Author :
language : en
Publisher:
Release Date : 2018

Acta Arithmetica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.

Journal Of The Ramanujan Mathematical Society

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Author :
language : en
Publisher:
Release Date : 2004

Journal Of The Ramanujan Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Algorithmic Number Theory

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Author :
language : en
Publisher:
Release Date : 2002

Algorithmic Number Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Algorithms categories.