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Algebraic Geometry over the Complex Numbers

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Cover of 'Algebraic Geometry over the Complex Numbers'

Table of Contents

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    Book Overview
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    Chapter 1 Plane Curves
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    Chapter 2 Manifolds and Varieties via Sheaves
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    Chapter 3 More Sheaf Theory
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    Chapter 4 Sheaf Cohomology
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    Chapter 5 De Rham Cohomology of Manifolds
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    Chapter 6 Riemann Surfaces
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    Chapter 7 Simplicial Methods
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    Chapter 8 The Hodge Theorem for Riemannian Manifolds
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    Chapter 9 Toward Hodge Theory for Complex Manifolds
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    Chapter 10 Kähler Manifolds
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    Chapter 11 A Little Algebraic Surface Theory
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    Chapter 12 Hodge Structures and Homological Methods
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    Chapter 13 Topology of Families
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    Chapter 14 The Hard Lefschetz Theorem
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    Chapter 15 Coherent Sheaves
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    Chapter 16 Cohomology of Coherent Sheaves
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    Chapter 17 Computation of Some Hodge Numbers
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    Chapter 18 Deformations and Hodge Theory
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    Chapter 19 Analogies and Conjectures
Attention for Chapter 7: Simplicial Methods
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