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Basic Algebraic Geometry 1: Varieties in Projective Space

✍ Scribed by Igor R. Shafarevich (auth.)

Publisher
Springer-Verlag Berlin Heidelberg
Year
2013
Tongue
English
Leaves
326
Edition
3
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-XVIII
Front Matter....Pages 1-1
Basic Notions....Pages 3-81
Local Properties....Pages 83-146
Divisors and Differential Forms....Pages 147-232
Intersection Numbers....Pages 233-282
Back Matter....Pages 283-310

✦ Subjects

Algebraic Geometry;Theoretical, Mathematical and Computational Physics

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