An invitation to algebraic geometry
Author(s)
Bibliographic Information
An invitation to algebraic geometry
(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.
by "Nielsen BookData"