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An Invitation to Arithmetic Geometry

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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.
Request Code : ZLIB.IO18228767
Categories:
Year:
2022
Publisher:
American Mathematical Society
Language:
English
ISBN 10:
0821802674
ISBN 13:
9780821802670
ISBN:
0821802674, 9780821802670
Series:
Graduate Studies in Mathematics, Vol 9

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