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An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

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Cover of 'An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces'

Table of Contents

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    Book Overview
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    Chapter 1 Manifolds
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    Chapter 2 Topology of Riemann Surfaces
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    Chapter 3 Analytic Structure
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    Chapter 4 Diffierentials and Integration
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    Chapter 5 Tori and Jacobians
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    Chapter 6 Projective Varieties
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    Chapter 7 Moduli Spaces of Curves
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    Chapter 8 Vector Bundles, Sheaves and Cohomology
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    Chapter 9 The Theorem of Riemann–Roch for Line Bundles
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    Chapter 10 The Mumford Isomorphism on the Moduli Space
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    Chapter 11 TopoModern Algebraic Geometry
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    Chapter 12 Schemes
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    Chapter 13 Hodge Decomposition and K¨ahler Manifold
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    Chapter 14 Calabi-Yau Manifolds and Mirror Symmetry
Attention for Chapter 8: Vector Bundles, Sheaves and Cohomology
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