An Invitation to Algebraic Geometry

An Invitation to Algebraic Geometry

Hardback Universitext

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

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  • Publisher: Springer-Verlag New York Inc.
  • Format: Hardback | 164 pages
  • Dimensions: 163mm x 236mm x 18mm | 363g
  • Publication date: 27 January 2004
  • Publication City/Country: New York, NY
  • ISBN 10: 0387989803
  • ISBN 13: 9780387989808
  • Edition: 4001
  • Edition statement: 1st ed. 2000. Corr. 2nd printing 2004
  • Illustrations note: biography
  • Sales rank: 949,745

Product 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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Review quote

K.E. Smith, L. Kahanpaeae, P.Kekaelaeinen, and W.N. Traves An Invitation to Algebraic Geometry "The book ... is clear and accessible."-CHOICE

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.