Field Arithmetic

1. Infinite Galois Theory and Profinite Groups

2. Valuations and Linear Disjointness

3. Algebraic Function Fields of One Variable

4. The Riemann Hypothesis for Function Fields

5. Plane Curves

6. The Chebotarev Density Theorem

7. Ultraproducts

8. Decision Procedures

9. Algebraically Closed Fields

10. Elements of Algebraic Geometry

11. Pseudo Algebraically Closed Fields

12. Hilbertian Fields

13. The Classical Hilbertian Fields

14. Nonstandard Structures

15. Nonstandard Approach to Hilbert’s Irreducibility Theorem

16. Galois Groups over Hilbertian Fields

17. Free Profinite Groups

18. The Haar Measure

19. Effective Field Theory and Algebraic Geometry

20. The Elementary Theory of e-Free PAC Fields

21. Problems of Arithmetical Geometry

22. Projective Groups and Frattini Covers

23. PAC Fields and Projective Absolute Galois Groups

24. Frobenius Fields

25. Free Profinite Groups of Infinite Rank

26. Random Elements in Profinite Groups

27. Omega-Free PAC Fields

28. Undecidability

29. Algebraically Closed Fields with Distinguished Automorphisms

30. Galois Stratification

31. Galois Stratification over Finite Fields

32. Problems of Field Arithmetic

DRM-restrictions

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Keywords: MATHEMATICS / General MAT000000