Basic algebraic geometry

- Shafarevich, Igorʹ Rostislavovich

Author(s)

- Shafarevich, Igorʹ Rostislavovich

Bibliographic Information

Igor R. Shafarevich ; [translator, Miles Reid]

Springer-Verlag, c1994

2nd rev. and expanded ed

v. 1 : gw
v. 1 : us
v. 2 : gw
v. 2 : us

Other Title

Основы алгебраической геометрии

Osnovy algebraicheskoĭ geometrii

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Note

Originally published: Nauka, Moscow, c1988

Includes bibliographical references and indexes

Titles of CW fields based on each cover

Contents of Works

v. 1. Varieties in projective space
v. 2. Schemes and complex manifolds

Description and Table of Contents

Volume: v. 1 : gw ISBN 9783540548126

Description

This book is a revised and expanded new edition of the first four chapters of Shafarevich's well-known introductory book on algebraic geometry. Besides correcting misprints and inaccuracies, the author has added plenty of new material, mostly concrete geometrical material such as Grassmannian varieties, plane cubic curves, the cubic surface, degenerations of quadrics and elliptic curves, the Bertini theorems, and normal surface singularities.

Volume: v. 2 : gw ISBN 9783540575542

Description

The second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with first volume the author has revised the text and added new material. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum making the book accessible to non-specialists. It can be read independently of the first volume and is suitable for beginning graduate students.

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Basic algebraic geometry

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