Field Arithmetic

• Main Authors: Fried, Michael D. (Author), Jarden, Moshe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Edition: Third Edition.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Field theory (Physics).; Geometry.; Mathematical logic.; Mathematics, general.; Algebraic Geometry.; Field Theory and Polynomials.; Mathematical Logic and Foundations.

Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar mea...