An Invitation to Arithmetic Geometry - Couverture souple

Lorenzini, Dino

Couverture souple

ISBN 10 : 1470467259 ISBN 13 : 9781470467258

Editeur : American Mathematical Society, 1996

Synopsis

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.

A propos du livre

À propos de l?auteur

Dino Lorenzini, University of Georgia, Athens, GA

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1996
• Langue: anglais
• ISBN 10: 1470467259
• ISBN 13: 9781470467258
• Reliure: Broché
• Nombre de pages: 397
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible