An Invitation to Arithmetic Geometry

An Invitation to Arithmetic Geometry
Author :
Publisher : American Mathematical Society
Total Pages : 397
Release :
ISBN-10 : 9781470467258
ISBN-13 : 1470467259
Rating : 4/5 (58 Downloads)

Book Synopsis An Invitation to Arithmetic Geometry by : Dino Lorenzini

Download or read book An Invitation to Arithmetic Geometry written by Dino Lorenzini and published by American Mathematical Society. This book was released on 2021-12-23 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

An Invitation to Arithmetic Geometry
Language: en
Pages: 397
Authors: Dino Lorenzini
Categories: Mathematics
Type: BOOK - Published: 2021-12-23 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

Extremely carefully written, masterfully thought out, and skillfully arranged introduction … to the arithmetic of algebraic curves, on the one hand, and to th
Invitation to the Mathematics of Fermat-Wiles
Language: en
Pages: 395
Authors: Yves Hellegouarch
Categories: Mathematics
Type: BOOK - Published: 2001-09-24 - Publisher: Elsevier

DOWNLOAD EBOOK

Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles
An Invitation to Modern Number Theory
Language: en
Pages: 526
Authors: Steven J. Miller
Categories: Mathematics
Type: BOOK - Published: 2020-07-21 - Publisher: Princeton University Press

DOWNLOAD EBOOK

In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and tec
An Invitation to Abstract Mathematics
Language: en
Pages: 443
Authors: Béla Bajnok
Categories: Mathematics
Type: BOOK - Published: 2020-10-27 - Publisher: Springer Nature

DOWNLOAD EBOOK

This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully c
Algebraic Geometry
Language: en
Pages: 511
Authors: Robin Hartshorne
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some element