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Conjectures in Arithmetic Algebraic Geometry

Overview of attention for book
Cover of 'Conjectures in Arithmetic Algebraic Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The zero-dimensional case: number fields
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    Chapter 3 The one-dimensional case: elliptic curves
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    Chapter 4 The general formalism of L -functions, Deligne cohomology and Poincaré duality theories
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    Chapter 5 Riemann-Roch, K-theory and motivic cohomology
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    Chapter 6 Regulators, Deligne’s conjecture and Beilinson’s first conjecture
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    Chapter 7 Beilinson’s second conjecture
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    Chapter 8 Arithmetic intersections and Beilinson’s third conjecture
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    Chapter 9 Absolute Hodge cohomology, Hodge and Tate conjectures and Abel-Jacobi maps
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    Chapter 10 Mixed realizations, mixed motives and Hodge and Tate conjectures for singular varieties
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    Chapter 11 Examples and Results
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    Chapter 12 The Bloch-Kato conjecture
Attention for Chapter 4: The general formalism of L -functions, Deligne cohomology and Poincaré duality theories
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