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Foundations of Algebraic Geometry
 
Foundations of Algebraic Geometry
Softcover ISBN:  978-0-8218-1029-3
Product Code:  COLL/29
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBook ISBN:  978-1-4704-3176-1
Product Code:  COLL/29.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Softcover ISBN:  978-0-8218-1029-3
eBook: ISBN:  978-1-4704-3176-1
Product Code:  COLL/29.B
List Price: $188.00 $143.50
MAA Member Price: $169.20 $129.15
AMS Member Price: $150.40 $114.80
Foundations of Algebraic Geometry
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Foundations of Algebraic Geometry
Softcover ISBN:  978-0-8218-1029-3
Product Code:  COLL/29
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBook ISBN:  978-1-4704-3176-1
Product Code:  COLL/29.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Softcover ISBN:  978-0-8218-1029-3
eBook ISBN:  978-1-4704-3176-1
Product Code:  COLL/29.B
List Price: $188.00 $143.50
MAA Member Price: $169.20 $129.15
AMS Member Price: $150.40 $114.80
  • Book Details
     
     
    Colloquium Publications
    Volume: 291946; 363 pp
    MSC: Primary 14

    This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Algebraic preliminaries
    • Chapter 2. Algebraic theory of specializations
    • Chapter 3. Analytic theory of specializations
    • Chapter 4. The geometric language
    • Chapter 5. Intersection-multiplicities (special case)
    • Chapter 6. General intersection-theory
    • Chapter 7. The geometry on abstract varieties
    • Chapter 8. The calculus of cycles
    • Chapter 9. Divisors and linear systems
    • Chapter 10. Comments and discussions
    • Appendix I. Normal varieties and normalization
    • Appendix II. Characterization of the $i$-symbol by its properties
    • Appendix III. Varieties over topological fields
  • Reviews
     
     
    • It is not often that one reviews a text written 53 years ago, updated 37 years ago, and still as relevant today as it was in its previous incarnations ... This book has played an important role in establishing the mathematical foundations of Algebraic Geometry and in providing its accepted language. Although there have been very significant subsequent ideological shifts in the subject, this book is just as fresh today as it was when it first appeared.

      Monatshefte für Mathematik
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 291946; 363 pp
MSC: Primary 14

This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.

  • Chapters
  • Chapter 1. Algebraic preliminaries
  • Chapter 2. Algebraic theory of specializations
  • Chapter 3. Analytic theory of specializations
  • Chapter 4. The geometric language
  • Chapter 5. Intersection-multiplicities (special case)
  • Chapter 6. General intersection-theory
  • Chapter 7. The geometry on abstract varieties
  • Chapter 8. The calculus of cycles
  • Chapter 9. Divisors and linear systems
  • Chapter 10. Comments and discussions
  • Appendix I. Normal varieties and normalization
  • Appendix II. Characterization of the $i$-symbol by its properties
  • Appendix III. Varieties over topological fields
  • It is not often that one reviews a text written 53 years ago, updated 37 years ago, and still as relevant today as it was in its previous incarnations ... This book has played an important role in establishing the mathematical foundations of Algebraic Geometry and in providing its accepted language. Although there have been very significant subsequent ideological shifts in the subject, this book is just as fresh today as it was when it first appeared.

    Monatshefte für Mathematik
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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