Basic Algebraic Geometry 1

Varieties in Projective Space

  • Igor R. Shafarevich

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Book 1: Varieties in Projective Space

    1. Front Matter
      Pages 1-1
    2. Igor R. Shafarevich
      Pages 3-81
    3. Igor R. Shafarevich
      Pages 83-146
    4. Igor R. Shafarevich
      Pages 147-232
    5. Igor R. Shafarevich
      Pages 233-282
  3. Back Matter
    Pages 283-310

About this book


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.


algebraic geometry singularities varieties

Authors and affiliations

  • Igor R. Shafarevich
    • 1
  1. 1.Algebra SectionSteklov Mathematical Institute Algebra SectionMoscowRussia

Bibliographic information