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Algebraic Geometry

Overview of attention for book
Cover of 'Algebraic Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Affine and Projective Varieties
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    Chapter 2 Regular Functions and Maps
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    Chapter 3 Cones, Projections, and More About Products
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    Chapter 4 Families and Parameter Spaces
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    Chapter 5 Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz
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    Chapter 6 Grassmannians and Related Varieties
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    Chapter 7 Rational Functions and Rational Maps
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    Chapter 8 More Examples
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    Chapter 9 Determinantal Varieties
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    Chapter 10 Algebraic Groups
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    Chapter 11 Definitions of Dimension and Elementary Examples
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    Chapter 12 More Dimension Computations
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    Chapter 13 Hilbert Polynomials
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    Chapter 14 Smoothness and Tangent Spaces
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    Chapter 15 Gauss Maps, Tangential and Dual Varieties
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    Chapter 16 Tangent Spaces to Grassmannians
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    Chapter 17 Further Topics Involving Smoothness and Tangent Spaces
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    Chapter 18 Degree
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    Chapter 19 Further Examples and Applications of Degree
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    Chapter 20 Singular Points and Tangent Cones
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    Chapter 21 Parameter Spaces and Moduli Spaces
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    Chapter 22 Quadrics
Attention for Chapter 5: Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz
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