An introduction to algebraic geometry

Bibliographic Information

An introduction to algebraic geometry

Kenji Ueno ; translated by Katsumi Nomizu

(Translations of mathematical monographs, v. 166)

American Mathematical Society, c1997

  • hbk
  • pbk

Other Title

代数幾何入門

Daisū kika nyūmon

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Note

Includes bibliographical references (p. 239-240) and indexes (p. 241-246)

Original Japanese ed. published: Tokyo:Iwanami Shoten, 1995

"This book is based on a draft for Iwanami Lecture Series in Applied Mathematics"--P. xii

Description and Table of Contents
Volume

hbk ISBN 9780821805893

Description

This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.
Volume

pbk ISBN 9780821811443

Description

This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.

Table of Contents

Invitation to algebraic geometry Projective space and projective varieties Algebraic curves The analytic theory of algebraic curves Commutative rings and fields (Appendix) References Index Index for definitions, theorems, etc.

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Details
  • NCID
    BA31296255
  • ISBN
    • 0821805894
    • 0821811444
  • LCCN
    97003030
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    jpn
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    xii, 246 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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