To those precious colleagues who can appreciate the goals of and connections to other aresa .To those who acknowledge the depth of what we already know from the absorbed contribution of previous generations before we address our papers.To those can transcend the hubris of todays mathematical community.
Table of Contents
Chapter 1.Infinite Galois Theory and Profinite Groups
Chapter 2.Valuations and Linear Disjointness
Chapter 3.Algebraic Function Fields of One Variable
Chapter 4.The Riemann Hypothesis for Function Fields
Chapter 5.Plane Curves
Chapter 6.The Chebotarev Density Theorem
Chapter 7.Ultraproducts
Chapter 8.Decision Procedures
Chapter 9.Algebraically Closed Fields
Chapter 10.Elements of Algebraic Geometry
Chapter 11.Pseudo Algebraically Closed Fields
Chapter 12.Hilbertian Fields
Chapter 13.The Classical Hilbertian Fields
Chapter 14.Nonstandard Structures
Chapter 15.Nonstandard Approach to Hilberts Irreducibility Theorem
Chapter 16.Galois Groups over Hilbertian Fields
Chapter 17.Free Profinite Groups
Chapter 18.The Haar Measure
Chapter 19.Effective Field Theory and Algebraic Geometry
Chapter 20.The Elementary Theory of e-Free PAC Fields
Chapter 21.Problems of Arithmetical Geometry
Chapter 22.Projective Groups and Frattini Covers
Chapter 23.PAC Fields and Projective Absolute Galois Groups
Chapter 24.Frobenius Fields
Chapter 25.Free Profinite Groups of Infinite Rank
Chapter 26.Random Elements in Free Profinite Groups
Chapter 27.Omega-Free PAC Fields
Chapter 28.Undecidability
Chapter 29.Algebraically Closed Fields with Distinguished Automorphisms
Chapter 30.Galois Stratification
Chapter 31.Galois Stratification over Finite Fields
Chapter 32.Problems of Field Arithmetic
Table of Contents
References
Index
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