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Field Arithmetic
Author(s)
Fried, Michael D.
Jarden, Moshe
Publisher
Springer
Publication year
2005
Language
en
Edition
1
Category
Mathematics
Price
186,00 €
PDF+DRM
ISBN
9783540269496
DRM Restrictions
Printing
Not allowed
Copy to clipboard
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Table of contents
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
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