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Field Arithmetic [1986]
- 1
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Infinite Galois Theory and Profinite Groups
- 12
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Algebraic Function Fields of One Variable
- 28
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The Riemann Hypothesis for Function Fields
- 43
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Plane Curves
- 54
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The Čebotarev Density Theorem
- 74
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Ultraproducts
- 88
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Decision Procedures
- 101
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Algebraically Closed Fields
- 109
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Elements of Algebraic Geometry
- 129
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Pseudo Algebraically Closed Fields
- 141
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Hilbertian Fields
- 150
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The Classical Hilbertian Fields
- 161
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Nonstandard Structures
- 170
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Nonstandard Approach to Hilbert’s Irreducibility Theorem
- 183
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Profinite Groups and Hilbertian Fields
- 201
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The Haar Measure
- 228
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Effective Field Theory and Algebraic Geometry
- 248
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The Elementary Theory of <Emphasis Type="Italic">e</Emphasis>-free PAC Fields
- 268
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Examples and Applications
- 286
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Projective Groups and Frattini Covers
- 314
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Perfect PAC Fields of Bounded Corank
- 326
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Undecidability
- 352
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Frobenius Fields
- 368
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On <Emphasis Type="Italic">ω</Emphasis>-free PAC Fields
- 403
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Galois Stratification
- 422
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Galois Stratification over Finite Fields