Softcover ISBN:  9780821813584 
Product Code:  MMONO/218 
List Price:  $52.00 
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AMS Member Price:  $41.60 
eBook ISBN:  9781470440763 
Product Code:  MMONO/218.E 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
Softcover ISBN:  9780821813584 
eBook: ISBN:  9781470440763 
Product Code:  MMONO/218.B 
List Price:  $101.00 $76.50 
MAA Member Price:  $90.90 $68.85 
AMS Member Price:  $80.80 $61.20 
Softcover ISBN:  9780821813584 
Product Code:  MMONO/218 
List Price:  $52.00 
MAA Member Price:  $46.80 
AMS Member Price:  $41.60 
eBook ISBN:  9781470440763 
Product Code:  MMONO/218.E 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
Softcover ISBN:  9780821813584 
eBook ISBN:  9781470440763 
Product Code:  MMONO/218.B 
List Price:  $101.00 $76.50 
MAA Member Price:  $90.90 $68.85 
AMS Member Price:  $80.80 $61.20 

Book DetailsTranslations of Mathematical MonographsIwanami Series in Modern MathematicsVolume: 218; 2003; 222 ppMSC: Primary 14
Algebraic geometry plays an important role in several branches of science and technology. This is the last of three volumes by Kenji Ueno algebraic geometry. This, in together with Algebraic Geometry 1 and Algebraic Geometry 2, makes an excellent textbook for a course in algebraic geometry.
In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal of studying the properties necessary for the full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. Ueno also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem.
The book contains numerous exercises and problems with solutions. It is suitable for a graduate course on algebraic geometry or for independent study.
ReadershipGraduate students and researchers interested in algebraic geometry.

Table of Contents

Chapters

Fundamental properties of scheme theory

Algebraic curves and Jacobian varieties

Algebraic geometry and analytic geometry

Overview and references

Solutions to problems

Solutions to exercises


Additional Material

Reviews

[It is] very likely to become one of the great international standard texts.
Zentralblatt MATH


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Algebraic geometry plays an important role in several branches of science and technology. This is the last of three volumes by Kenji Ueno algebraic geometry. This, in together with Algebraic Geometry 1 and Algebraic Geometry 2, makes an excellent textbook for a course in algebraic geometry.
In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal of studying the properties necessary for the full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. Ueno also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem.
The book contains numerous exercises and problems with solutions. It is suitable for a graduate course on algebraic geometry or for independent study.
Graduate students and researchers interested in algebraic geometry.

Chapters

Fundamental properties of scheme theory

Algebraic curves and Jacobian varieties

Algebraic geometry and analytic geometry

Overview and references

Solutions to problems

Solutions to exercises

[It is] very likely to become one of the great international standard texts.
Zentralblatt MATH