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Field Arithmetic [1986]

1
Infinite Galois Theory and Profinite Groups
12
Algebraic Function Fields of One Variable
28
The Riemann Hypothesis for Function Fields
43
Plane Curves
54
The Čebotarev Density Theorem
74
Ultraproducts
88
Decision Procedures
101
Algebraically Closed Fields
109
Elements of Algebraic Geometry
129
Pseudo Algebraically Closed Fields
141
Hilbertian Fields
150
The Classical Hilbertian Fields
161
Nonstandard Structures
170
Nonstandard Approach to Hilbert’s Irreducibility Theorem
183
Profinite Groups and Hilbertian Fields
201
The Haar Measure
228
Effective Field Theory and Algebraic Geometry
248
The Elementary Theory of <Emphasis Type="Italic">e</Emphasis>-free PAC Fields
268
Examples and Applications
286
Projective Groups and Frattini Covers
314
Perfect PAC Fields of Bounded Corank
326
Undecidability
352
Frobenius Fields
368
On <Emphasis Type="Italic">ω</Emphasis>-free PAC Fields
403
Galois Stratification
422
Galois Stratification over Finite Fields
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