Galois Theory, Coverings, and Riemann Surfaces

• Main Author: Khovanskii, Askold (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Field theory (Physics).; Group theory.; Topology.; Field Theory and Polynomials.; Group Theory and Generalizations.; Algebraic Geometry.

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and th...