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Field Arithmetic

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Cover of 'Field Arithmetic'

Table of Contents

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    Book Overview
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    Chapter 1 Infinite Galois Theory and Profinite Groups
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    Chapter 2 Algebraic Function Fields of One Variable
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    Chapter 3 The Riemann Hypothesis for Function Fields
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    Chapter 4 Plane Curves
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    Chapter 5 The Čebotarev Density Theorem
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    Chapter 6 Ultraproducts
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    Chapter 7 Decision Procedures
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    Chapter 8 Algebraically Closed Fields
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    Chapter 9 Elements of Algebraic Geometry
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    Chapter 10 Pseudo Algebraically Closed Fields
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    Chapter 11 Hilbertian Fields
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    Chapter 12 The Classical Hilbertian Fields
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    Chapter 13 Nonstandard Structures
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    Chapter 14 Nonstandard Approach to Hilbert’s Irreducibility Theorem
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    Chapter 15 Profinite Groups and Hilbertian Fields
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    Chapter 16 The Haar Measure
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    Chapter 17 Effective Field Theory and Algebraic Geometry
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    Chapter 18 The Elementary Theory of e -free PAC Fields
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    Chapter 19 Examples and Applications
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    Chapter 20 Projective Groups and Frattini Covers
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    Chapter 21 Perfect PAC Fields of Bounded Corank
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    Chapter 22 Undecidability
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    Chapter 23 Frobenius Fields
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    Chapter 24 On ω -free PAC Fields
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    Chapter 25 Galois Stratification
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    Chapter 26 Galois Stratification over Finite Fields
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Title
Field Arithmetic
Published by
Springer Berlin Heidelberg, April 2013
DOI 10.1007/978-3-662-07216-5
ISBNs
978-3-66-207218-9, 978-3-66-207216-5
Authors

Fried, Michael D., Jarden, Moshe

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