Overview

Lorenzini brings out the deep analogies between number theory, commutative algebra, and algebraic geometry. An Invitation to Arithmetic Geometry is designed to emphasize the interconnection between the two fields of mathematics. It presents in a unified manner the basic tools and concepts of number theory and algebraic geometry. Containing many worked-out examples and suggested exercises, the book was written as a graduate textbook for introductory arithmetic geometry.

Full Product Details

Author:   Dino Lorenzini
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 9
Dimensions:   Width: 19.00cm , Height: 2.80cm , Length: 26.70cm
Weight:   0.909kg
ISBN:  

9780821802670

ISBN 10:   0821802674
Pages:   397
Publication Date:   29 February 1996
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Integral closure Plane curves Factorization of ideals The discriminants The ideal class group Projective curves Nonsingular complete curves Zeta-functions The Riemann-Roch Theorem Frobenius morphisms and the Riemann hypothesis Further topics Appendix Glossary of notation Index Bibliography.

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