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Conjectures in Arithmetic Algebraic Geometry

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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
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Title
Conjectures in Arithmetic Algebraic Geometry
Published by
Vieweg+Teubner Verlag, June 2013
DOI 10.1007/978-3-663-09505-7
ISBNs
978-3-66-309507-1, 978-3-66-309505-7
Authors

Hulsbergen, Wilfred W. J.

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