Basic Algebraic Geometry 1 : Varieties in Projective Space （3RD）

Shafarevich, Igor R./ Reid, Miles (TRN)

Springer-Verlag Berlin and Heidelberg GmbH & Co. K（2013/08発売）

• 製本 Hardcover:ハードカバー版／ページ数 310 p.
• 言語 ENG
• 商品コード 9783642379550
• DDC分類 516.35

Full Description

Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction  to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich's book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles.

Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.

Contents

Preface.- Book 1. Varieties in Projective Space: Chapter 1. Basic Notions.- Chapter II. Local Properties.- Chapter III. Divisors and Differential Forms.- Chapter IV. Intersection Numbers.- Algebraic Appendix.- References.- Index