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An Invitation to Algebraic Geometry [electronic resource] /

by Smith, Karen E [author.]; Kahanpää, Lauri [author.]; Kekäläinen, Pekka [author.]; Traves, William [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Universitext: Publisher: New York, NY : Springer New York : 2000.ISBN: 9781475744972; 9781441931955 (print).Subject(s): Mathematics | Geometry, algebraic | Mathematics | Algebraic GeometryDDC classification: 516.35 Online resources: Full text available from SpringerLink ebooks - Mathematics and Statistics (Archive)
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.
In: Springer eBooksSummary: The aim of this book is to describe 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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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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The aim of this book is to describe 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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