An Invitation to Algebraic Geometry (Universitext 1st ed. 2000. Corr. 2nd printing 2004)

An Invitation to Algebraic Geometry (Universitext 1st ed. 2000. Corr. 2nd printing 2004)

By: Karen E. Smith (author), William Traves (author), Lauri Kahanpaa (author), Pekka Kekalainen (author)Paperback

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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.

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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.

Product Details

  • publication date: 11/08/2001
  • ISBN13: 9780387989808
  • Format: Paperback, Hardback
  • Number Of Pages: 180
  • ID: 9780387989808
  • weight: 438
  • ISBN10: 0387989803
  • edition: 1st ed. 2000. Corr. 2nd printing 2004

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