Progress in Galois Theory

Download or read book Progress in Galois Theory written by Helmut Voelklein and published by Springer Science & Business Media. This book was released on 2005 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this book are the interactions between group theory and algebra/geometry/number theory, showing ubiquity and power of the basic principle of Galois theory. The book presents recent developments in a major line of work about covers of the projective line (and other curves), their fields of definition and parameter spaces, and associated questions about arithmetic fundamental groups. This is intimately tied up with the Inverse Problem of Galois Theory, and uses methods of algebraic geometry, group theory and number theory.