An invitation to algebraic geometry

Author(s)
    • Smith, Karen E.
Bibliographic Information

An invitation to algebraic geometry

Karen E. Smith ... [et al.]

(Universitext)

Springer, 2004, c2000

[2nd print.]

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Note

"Corrected printing, 2004"--T.p. verso

Includes bibliographical references (p. [153]-155) and index

Description and Table of Contents

Description

This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

Table of Contents

1 Affine Algebraic Varieties.- 2 Algebraic Foundations.- 3 Projective Varieties.- 4 Quasi-Projective Varieties.- 5 Classical Constructions.- 6 Smoothness.- 7 Birational Geometry.- 8 Maps to Projective Space.- A Sheaves and Abstract Algebraic Varieties.- A.1 Sheaves.- A.2 Abstract Algebraic Varieties.- References.

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Details
  • NCID
    BA74522775
  • ISBN
    • 0387989803
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xvi, 161 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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