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Applications of Algebraic Geometry to Coding Theory, Physics and Computation

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Cover of 'Applications of Algebraic Geometry to Coding Theory, Physics and Computation'

Table of Contents

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    Book Overview
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    Chapter 1 Vector Bundles on Singular Projective Curves
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    Chapter 2 On Double Planes with Kodaira Dimension Zero
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    Chapter 3 Computing Minimal Generators of Ideals of Elliptic Curves
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    Chapter 4 The Segre and Harbourne-Hirschowitz Conjectures
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    Chapter 5 Pillow Degenerations of K3 Surfaces
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    Chapter 6 Computational Algebraic Geometry Today
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    Chapter 7 Some Applications of Algebraic Curves to Computational Vision
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    Chapter 8 Coding Theory and Algebraic Curves Over Finite Fields
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    Chapter 9 Three Algorithms in Algebraic Geometry, Coding Theory and Singularity Theory
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    Chapter 10 Counting Points on Calabi-Yau Threefolds
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    Chapter 11 Subvarieties of Abelian Varieties
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    Chapter 12 Characteristic Varieties of Algebraic Curves
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    Chapter 13 Communication Networks and Hilbert Modular Forms
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    Chapter 14 Compact Kähler Threefolds with Small Picard Numbers
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    Chapter 15 Abelian Varieties over the Field of the 20th Roots of Unity That Have Good Reduction Everywhere
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    Chapter 16 Using Monodromy to Decompose Solution Sets of Polynomial Systems into Irreducible Components
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    Chapter 17 Diffeomorphisms and Families of Fourier-Mukai Transforms in Mirror Symmetry
Attention for Chapter 1: Vector Bundles on Singular Projective Curves
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