Compact Riemann surfaces

Table of Contents

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   Book Overview
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   Chapter 1 Algebraic functions
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   Chapter 2 Riemann Surfaces
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   Chapter 3 The Sheaf of Germs of Holomorphic Functions
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   Chapter 4 The Riemann Surface of an Algebraic Function
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   Chapter 5 Sheaves
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   Chapter 6 Vector Bundles, Line Bundles and Divisors
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   Chapter 7 Finiteness Theorems
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   Chapter 8 The Dolbeault Isomorphism
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    Chapter 9 Weyl’s Lemma and the Serre Duality Theorem
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    Chapter 10 The Riemann-Roch Theorem and some Applications
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    Chapter 11 Further Properties of Compact Riemann Surfaces
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    Chapter 12 Hyperelliptic Curves and the Canonical Map
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    Chapter 13 Some Geometry of Curves in Projective Space
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    Chapter 14 Bilinear Relations
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    Chapter 15 The Jacobian and Abel’s Theorem
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    Chapter 16 The Riemann Theta Function
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    Chapter 17 The Theta Divisor
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    Chapter 18 Torelli’s Theorem
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    Chapter 19 Riemann’s Theorem on the Singularities of Θ